On a drug-resistant malaria model with susceptible individuals without access to basic amenities

In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be l...

Full description

Saved in:
Bibliographic Details
Published in:Journal of biological physics 2012-06, Vol.38 (3), p.507-530
Main Authors: Okosun, Kazeem Oare, Makinde, Oluwole Daniel
Format: Article
Language:English
Subjects:
Biochemistry
Biological and Medical Physics
Biophysics
Complex Fluids and Microfluidics
Complex Systems
Disease transmission
Drug resistance
Malaria
Neurosciences
Original Paper
Physics
Physics and Astronomy
Soft and Granular Matter
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3
cites cdi_FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3
container_end_page 530
container_issue 3
container_start_page 507
container_title Journal of biological physics
container_volume 38
creator Okosun, Kazeem Oare
Makinde, Oluwole Daniel
description In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved in the absence of a drug-resistant strain in the population. The existence of multiple endemic equilibria is also established. Both the Sensitivity Index (SI) of the model parameters and the Incremental Cost-Effectiveness Ratio (ICER) for all possible combinations of the disease-control measures are determined. Our results revealed among others that the most cost-effective strategy for drug-resistant malaria control is the combination of the provision of basic amenities (such as access to clean water, electricity, good roads, health care, and education) and treatment of infective individuals. Therefore, more efforts from policy-makers on the provisions of basic amenities and treatment of infectives would go a long way to combat the malaria epidemic.
doi_str_mv 10.1007/s10867-012-9269-5
format article
fullrecord <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_3388191</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1028037136</sourcerecordid><originalsourceid>FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3</originalsourceid><addsrcrecordid>eNqFkU1rHSEYhaW0NLdJfkA2Reimm2lfdXR0Ewgh_YBANu3aOuq9MczorToJ-ff19qYhKZSuVM7zHj0ehE4IfCAAw8dCQIqhA0I7RYXq-Au0InxgHQipXqIVgKJtD-IAvSnlBtpZUv4aHVA2UKUIWaEfVxEb7PKy6bIvoVQTK57NZHIweE7OT_gu1GtclmL9toZx8jhEF26DW8xUfotpqdhY60vBNeHRlGCxmX0MNfhyhF6tG-iPH9ZD9P3TxbfzL93l1eev52eXneXAasdYPzoq12uhnAQP4Bi3zlHCRm8EkUYoylsUaXnfK9M7ZqUc-tEQAV4Jyw7R6d53u4yzd9bHms2ktznMJt_rZIJ-rsRwrTfpVjMmJVGkGbx_MMjp5-JL1XNomafJRJ-WogkTHDgbhPg_ClQCG9pEQ9_9hd6kJcf2EzuKAZFCyEaRPWVzKiX79eO7Cehd1XpftW5V613VmreZt08DP0786bYBdA-UJsWNz0-v_pfrL_sStM4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1023018668</pqid></control><display><type>article</type><title>On a drug-resistant malaria model with susceptible individuals without access to basic amenities</title><source>Springer Nature</source><source>PubMed Central</source><creator>Okosun, Kazeem Oare ; Makinde, Oluwole Daniel</creator><creatorcontrib>Okosun, Kazeem Oare ; Makinde, Oluwole Daniel</creatorcontrib><description>In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved in the absence of a drug-resistant strain in the population. The existence of multiple endemic equilibria is also established. Both the Sensitivity Index (SI) of the model parameters and the Incremental Cost-Effectiveness Ratio (ICER) for all possible combinations of the disease-control measures are determined. Our results revealed among others that the most cost-effective strategy for drug-resistant malaria control is the combination of the provision of basic amenities (such as access to clean water, electricity, good roads, health care, and education) and treatment of infective individuals. Therefore, more efforts from policy-makers on the provisions of basic amenities and treatment of infectives would go a long way to combat the malaria epidemic.</description><identifier>ISSN: 0092-0606</identifier><identifier>EISSN: 1573-0689</identifier><identifier>DOI: 10.1007/s10867-012-9269-5</identifier><identifier>PMID: 23729911</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Biochemistry ; Biological and Medical Physics ; Biophysics ; Complex Fluids and Microfluidics ; Complex Systems ; Disease transmission ; Drug resistance ; Malaria ; Neurosciences ; Original Paper ; Physics ; Physics and Astronomy ; Soft and Granular Matter</subject><ispartof>Journal of biological physics, 2012-06, Vol.38 (3), p.507-530</ispartof><rights>Springer Science+Business Media B.V. 2012</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3</citedby><cites>FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC3388191/pdf/$$EPDF$$P50$$Gpubmedcentral$$H</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC3388191/$$EHTML$$P50$$Gpubmedcentral$$H</linktohtml><link.rule.ids>230,314,727,780,784,885,27924,27925,53791,53793</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/23729911$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Okosun, Kazeem Oare</creatorcontrib><creatorcontrib>Makinde, Oluwole Daniel</creatorcontrib><title>On a drug-resistant malaria model with susceptible individuals without access to basic amenities</title><title>Journal of biological physics</title><addtitle>J Biol Phys</addtitle><addtitle>J Biol Phys</addtitle><description>In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved in the absence of a drug-resistant strain in the population. The existence of multiple endemic equilibria is also established. Both the Sensitivity Index (SI) of the model parameters and the Incremental Cost-Effectiveness Ratio (ICER) for all possible combinations of the disease-control measures are determined. Our results revealed among others that the most cost-effective strategy for drug-resistant malaria control is the combination of the provision of basic amenities (such as access to clean water, electricity, good roads, health care, and education) and treatment of infective individuals. Therefore, more efforts from policy-makers on the provisions of basic amenities and treatment of infectives would go a long way to combat the malaria epidemic.</description><subject>Biochemistry</subject><subject>Biological and Medical Physics</subject><subject>Biophysics</subject><subject>Complex Fluids and Microfluidics</subject><subject>Complex Systems</subject><subject>Disease transmission</subject><subject>Drug resistance</subject><subject>Malaria</subject><subject>Neurosciences</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Soft and Granular Matter</subject><issn>0092-0606</issn><issn>1573-0689</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkU1rHSEYhaW0NLdJfkA2Reimm2lfdXR0Ewgh_YBANu3aOuq9MczorToJ-ff19qYhKZSuVM7zHj0ehE4IfCAAw8dCQIqhA0I7RYXq-Au0InxgHQipXqIVgKJtD-IAvSnlBtpZUv4aHVA2UKUIWaEfVxEb7PKy6bIvoVQTK57NZHIweE7OT_gu1GtclmL9toZx8jhEF26DW8xUfotpqdhY60vBNeHRlGCxmX0MNfhyhF6tG-iPH9ZD9P3TxbfzL93l1eev52eXneXAasdYPzoq12uhnAQP4Bi3zlHCRm8EkUYoylsUaXnfK9M7ZqUc-tEQAV4Jyw7R6d53u4yzd9bHms2ktznMJt_rZIJ-rsRwrTfpVjMmJVGkGbx_MMjp5-JL1XNomafJRJ-WogkTHDgbhPg_ClQCG9pEQ9_9hd6kJcf2EzuKAZFCyEaRPWVzKiX79eO7Cehd1XpftW5V613VmreZt08DP0786bYBdA-UJsWNz0-v_pfrL_sStM4</recordid><startdate>20120601</startdate><enddate>20120601</enddate><creator>Okosun, Kazeem Oare</creator><creator>Makinde, Oluwole Daniel</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7QP</scope><scope>7QR</scope><scope>7TK</scope><scope>7TM</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2O</scope><scope>M2P</scope><scope>M7P</scope><scope>MBDVC</scope><scope>P64</scope><scope>PADUT</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>C1K</scope><scope>F1W</scope><scope>H95</scope><scope>H97</scope><scope>L.G</scope><scope>M7N</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20120601</creationdate><title>On a drug-resistant malaria model with susceptible individuals without access to basic amenities</title><author>Okosun, Kazeem Oare ; Makinde, Oluwole Daniel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Biochemistry</topic><topic>Biological and Medical Physics</topic><topic>Biophysics</topic><topic>Complex Fluids and Microfluidics</topic><topic>Complex Systems</topic><topic>Disease transmission</topic><topic>Drug resistance</topic><topic>Malaria</topic><topic>Neurosciences</topic><topic>Original Paper</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Soft and Granular Matter</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Okosun, Kazeem Oare</creatorcontrib><creatorcontrib>Makinde, Oluwole Daniel</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Calcium &amp; Calcified Tissue Abstracts</collection><collection>Chemoreception Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Nucleic Acids Abstracts</collection><collection>Health &amp; Medical Collection (Proquest)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Engineering Research Database</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health &amp; Medical Complete (Alumni)</collection><collection>ProQuest Biological Science Collection</collection><collection>Health &amp; Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>ProQuest research library</collection><collection>Science Database</collection><collection>ProQuest Biological Science Journals</collection><collection>Research Library (Corporate)</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>Research Library China</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) 1: Biological Sciences &amp; Living Resources</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) 3: Aquatic Pollution &amp; Environmental Quality</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) Professional</collection><collection>Algology Mycology and Protozoology Abstracts (Microbiology C)</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Journal of biological physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Okosun, Kazeem Oare</au><au>Makinde, Oluwole Daniel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a drug-resistant malaria model with susceptible individuals without access to basic amenities</atitle><jtitle>Journal of biological physics</jtitle><stitle>J Biol Phys</stitle><addtitle>J Biol Phys</addtitle><date>2012-06-01</date><risdate>2012</risdate><volume>38</volume><issue>3</issue><spage>507</spage><epage>530</epage><pages>507-530</pages><issn>0092-0606</issn><eissn>1573-0689</eissn><abstract>In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved in the absence of a drug-resistant strain in the population. The existence of multiple endemic equilibria is also established. Both the Sensitivity Index (SI) of the model parameters and the Incremental Cost-Effectiveness Ratio (ICER) for all possible combinations of the disease-control measures are determined. Our results revealed among others that the most cost-effective strategy for drug-resistant malaria control is the combination of the provision of basic amenities (such as access to clean water, electricity, good roads, health care, and education) and treatment of infective individuals. Therefore, more efforts from policy-makers on the provisions of basic amenities and treatment of infectives would go a long way to combat the malaria epidemic.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><pmid>23729911</pmid><doi>10.1007/s10867-012-9269-5</doi><tpages>24</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0092-0606
ispartof Journal of biological physics, 2012-06, Vol.38 (3), p.507-530
issn 0092-0606
1573-0689
language eng
recordid cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_3388191
source Springer Nature; PubMed Central
subjects Biochemistry
Biological and Medical Physics
Biophysics
Complex Fluids and Microfluidics
Complex Systems
Disease transmission
Drug resistance
Malaria
Neurosciences
Original Paper
Physics
Physics and Astronomy
Soft and Granular Matter
title On a drug-resistant malaria model with susceptible individuals without access to basic amenities
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-31T23%3A43%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20a%20drug-resistant%20malaria%20model%20with%20susceptible%20individuals%20without%20access%20to%20basic%20amenities&rft.jtitle=Journal%20of%20biological%20physics&rft.au=Okosun,%20Kazeem%20Oare&rft.date=2012-06-01&rft.volume=38&rft.issue=3&rft.spage=507&rft.epage=530&rft.pages=507-530&rft.issn=0092-0606&rft.eissn=1573-0689&rft_id=info:doi/10.1007/s10867-012-9269-5&rft_dat=%3Cproquest_pubme%3E1028037136%3C/proquest_pubme%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c503t-334bd28ff69d80e00d35cdd213bea618a69250608c5449a4d3c8874ba160e96c3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1023018668&rft_id=info:pmid/23729911&rfr_iscdi=true