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Dynamical Behaviors of Impulsive Differential Systems

Author: SunZePeng
Tutor: XiongZuoLiang
School: Nanchang University
Course: Operational Research and Cybernetics
Keywords: Eco - epidemic model Impulsive Differential Systems Periodic solution Stability Branch Persistent Coincidence degree theory
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 11
Quote: 0
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Abstract


Ecological model is the basis of biological mathematics , impulsive differential equations as a tool to study the nature of the dynamics of the ecological model , the article is organized as follows: Chapter brief background , prior knowledge , and this article . Study of Chapter II eco - epidemic model with impulsive release , the Floquet multiplier theoretical and pulse comparison theorem extinction periodic solution of the system global stability and system persistence , and numerical simulation results . chapter study infectious disease model with pulse birth and pulse vaccination , by constructing discrete mapping and the bifurcation theory has been disease - free periodic solution stability system and the system of non- trivial solution branch , and the use of numerical simulation techniques to study results verified Chapter class eco - epidemic model with biological control using Floquet multiplier theory , local asymptotic stability system free periodic solution , and then use the coincidence degree theory system T- the existence of periodic solutions and the use of numerical simulation results . fifth chapter of the conclusions of the article summarizes the prospect for future research .

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