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Global Dynamics of Two Planar Parasite-host Models

Author: MaChao
Tutor: TangYiLei
School: Shanghai Jiaotong University
Course: Applied Mathematics
Keywords: Bifurcation degenerate equilibrium close orbit generalized normal sector
CLC: O175
Type: Master's thesis
Year: 2012
Downloads: 31
Quote: 0
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Abstract


In this paper we give global dynamical behaviors of a Parasite-host model witha nonlinear incidence rate bxpyq.Firstly,we discuss the global dynamical behaviors inthe case of p = q = 1.In this case,we give the qualitative properties of equilibriain the first quadrant,and study the bifurcations of the system.Particularly,the concretedistribution of orbits near high degenerate equilibrium O are obtained by a methodof generalized normal sectors.Moreover, we consider equilibria at infinity for globaltendency.Lastly, we discuss the qualitative properties of equilibria in the first quadrantin the case of p∈Z+, q = 1,including equilibria at infinity for global tendency.Thus,we get global dynamical behaviors of this Parasite-host model.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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