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2015 | 42 | 2-3 | 137-158
Tytuł artykułu

Mathematical analysis of a within-host model of malaria with immune effectors and Holling type II functional response

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Języki publikacji
EN
Abstrakty
EN
In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out. In the absence of immune effectors, when R₀ > 1, there exists a unique endemic equilibrium point. Global analysis of this point is given, which uses on the one hand Lyapunov functions and on the other hand results of the theory of competitive systems and stability of periodic orbits. Therefore, if R₀ > 1, the malaria infection persists in the host. Finally, in the presence of immune effectors, we find that the endemic equilibrium is unstable for some parameter values using the Routh-Hurwitz criterion; numerical simulations of the model also show the same results.
Słowa kluczowe
Rocznik
Tom
42
Numer
2-3
Strony
137-158
Opis fizyczny
Daty
wydano
2015
Twórcy
autor
  • Department of Mathematical Sciences, Sharif University of Technology, Tehran 14588-89694, Iran
autor
  • Department of Mathematical Sciences, Sharif University of Technology, Tehran 14588-89694, Iran
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-am42-2-2
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