A delay virus model with Beddington-DeAngelis functional response
نویسندگان
چکیده
منابع مشابه
Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductiv...
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This paper investigates the global stability of virus dynamics model with BeddingtonDeAngelis infection rate. By constructing Lyapunov functions, the global properties have been analyzed. If the basic reproductive ratio of the virus is less than or equal to one, the uninfected steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is more than one, the infe...
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The Beddington–DeAngelis predator–prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numer...
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2014
ISSN: 1847-120X
DOI: 10.7153/dea-06-27