A Novel Hybrid Crossover Dynamics of Monkeypox Disease Mathematical Model with Time Delay: Numerical Treatments

In this paper, we improved a mathematical model of monkeypox disease with a time delay to a crossover model by incorporating variable-order and fractional differential equations, along with stochastic fractional derivatives, in three different time intervals. The stability and positivity of the solu...

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Bibliographic Details
Published in:Fractal and fractional 2024-04, Vol.8 (4), p.185
Main Authors: Sweilam, Nasser H, Al-Mekhlafi, Seham M, Hassan, Saleh M, Alsenaideh, Nehaya R, Radwan, Abdelaziz E
Format: Article
Language:English
Subjects:
Calculus
Caputo proportional constant variable order derivative
constant proportional Caputo nonstandard Adams-Bashfourth technique of fifth step
Data simulation
Differential equations
Epidemics
Equilibrium
Forecasts and trends
Fractional calculus
Human monkeypox
Infectious diseases
Mathematical models
monkeypox disease
Mpox
nonstandard modified Euler Maruyama method
Numerical methods
Simulation methods
Time lag
Citations: Items that this one cites
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Summary:In this paper, we improved a mathematical model of monkeypox disease with a time delay to a crossover model by incorporating variable-order and fractional differential equations, along with stochastic fractional derivatives, in three different time intervals. The stability and positivity of the solutions for the proposed model are discussed. Two numerical methods are constructed to study the behavior of the proposed models. These methods are the nonstandard modified Euler Maruyama technique and the nonstandard Caputo proportional constant Adams-Bashfourth fifth step method. Many numerical experiments were conducted to verify the efficiency of the methods and support the theoretical results. This study’s originality is the use of fresh data simulation techniques and different solution methodologies.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract8040185