Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito‐borne and sexually transmitted disease

This paper analyzes the dynamics of fractional partial differential equation (FPDE) model of Zika virus that incorporates diffusion using Atangana–Baleanu (AB) fractional derivative. Zika virus disease is an infection transmitted predominantly by the bite of an infected Aedes species mosquito and ma...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-03, Vol.45 (5), p.2994-3013
Main Authors: Veeresha, Pundikala, Akinyemi, Lanre, Oluwasegun, Kayode, Şenol, Mehmet, Oduro, Bismark
Format: Article
Language:English
Subjects:
Atangana–Baleanu (AB) derivative
diffusion
Diffusion effects
disease‐free equilibrium
equilibrium
Mathematical models
Mosquitoes
Numerical models
Partial differential equations
q‐homotopy analysis transform method
Viruses
Zika virus
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Summary:This paper analyzes the dynamics of fractional partial differential equation (FPDE) model of Zika virus that incorporates diffusion using Atangana–Baleanu (AB) fractional derivative. Zika virus disease is an infection transmitted predominantly by the bite of an infected Aedes species mosquito and may be a severe epidemic if not contained in its premature stages. The q‐homotopy analysis transform method is employed to analyze and compute the solutions for this nonlinear partial differential model, and the fractional derivative is defined in Atangana–Baleanu sense. We determine some new approximate numerical results for different values of parameters of alpha. Numerical models focused on various distributions of the population help to explain how the spread of humans and mosquitoes influences the disease's transmission. With the utilization fixed‐point hypothesis, the existence and uniqueness of the solutions obtained for the proposed model are presented.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7973