Mathematical Modelling and Analysis of Autonomous HIV/AIDS Dynamics with Vertical Transmission and Nonlinear Treatment

Olaniyi, Samson; Kareem, Gafar G.; Abimbade, Sulaimon F.; Chuma, Furaha M.; Sangoniyi, Sunday O.

doi:10.1007/s40995-023-01565-w

Cited by 7 publications

(1 citation statement)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since fractional calculus is a generalization of the standard theory of calculus, the global asymptotic stability of the model around the disease-free equilibrium (DFE) of the model ( 28) is analyzed by extending the classical method that has been x-rayed in [39][40][41][42] to a fractional-order derivative operator. To do this, let the fractional-order system (4) be rewritten in a vector form given by…”

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%

Global Dynamics of a Social Hierarchy-Stratified Malaria Model: Insight from Fractional Calculus

Abimbade,

Chuma,

Sangoniyi

et al. 2024

Mathematics

Self Cite

View full text Add to dashboard Cite

In this study, a mathematical model for the transmission dynamics of malaria among different socioeconomic groups in the human population interacting with a susceptible-infectious vector population is presented and analysed using a fractional-order derivative of the Caputo type. The total human population is stratified into two distinguished classes of lower and higher income individuals, with each class further subdivided into susceptible, infectious, and recovered populations. The socio hierachy-structured fractional-order malaria model is analyzed through the application of different dynamical system tools. The theory of positivity and boundedness based on the generalized mean value theorem is employed to investigate the basic properties of solutions of the model, while the Banach fixed point theory approach is used to prove the existence and uniqueness of the solution. Furthermore, unlike the existing related studies, comprehensive global asymptotic dynamics of the fractional-order malaria model around both disease-free and endemic equilibria are explored by generalizing the usual classical methods for establishing global asymptotic stability of the steady states. The asymptotic behavior of the trajectories of the system are graphically illustrated at different values of the fractional (noninteger) order.

show abstract

Section: Global Asymptotic Stability Of Dfementioning

confidence: 99%