Dynamics analysis of a delayed virus model with two different transmission methods and treatments
Tongqian Zhang, Junling Wang, Yuqing Li, Zhichao Jiang, Xiaofeng Han
Abstract
In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
Topics & Concepts
Dynamics (music)Ordinary differential equationPartial differential equationTransmission (telecommunications)MathematicsVirusApplied mathematicsVirologyMathematical analysisDifferential equationBiologyComputer sciencePhysicsTelecommunicationsAcousticsMathematical and Theoretical Epidemiology and Ecology ModelsPlant Virus Research StudiesEvolution and Genetic Dynamics