Abstract
ABSTRACTIn this paper, we study the stability analysis of latent Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected monocytes is modelled by a general nonlinear function which satisfies a set of conditions. The model is incorporated by intracellular discrete or distributed time delays. Using the method of Lyapunov function, we established the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.
Highlights
Chikungunya virus (CHIKV) is an alphavirus and is transmitted to humans by Aedes aegypti and Aedes albopictus mosquitos
In system [1]–(4) it is assumed that the incidence rate between the CHIKV and uninfected monocytes is given by bilinear form
The objective of this paper is to propose a CHIKV infection model which improves the model presented in [43] by taking into account (i) two types of infected monocytes, latently infected monocytes and actively infected monocytes, (ii) two types of discrete or distributed time delays (iii) the incidence rate between the CHIKV and the uninfected monocytes is given by a general nonlinear function (S, V), where the function is supposed to satisfy a set of conditions
Summary
Chikungunya virus (CHIKV) is an alphavirus and is transmitted to humans by Aedes aegypti and Aedes albopictus mosquitos. In system [1]–(4) it is assumed that the incidence rate between the CHIKV and uninfected monocytes is given by bilinear form Such bilinear form is imperfect to depict the dynamical behaviour of the viral infection in detail [27]. During budding the virions will acquire a membrane bilayer from part of the host cell membrane This process may take time period which can be incroporated into the CHIKV model by considering the time delay and latently infeced cells. We use Lyapunov direct method to establish the global stability of the model’s steady states
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