Stability properties of a nonstandard finite difference scheme for a hantavirus epidemic model |
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| Authors: | Mingxiang Chen Dominic P Clemence |
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| Institution: | 1. Department of Mathematics , North Carolina A &2. T State University , Greensboro, NC, 27411, USA chen@ncat.edu;4. T State University , Greensboro, NC, 27411, USA |
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| Abstract: | This paper studies the stability properties of a nonstandard finite difference (NSFD) scheme used to simulate the dynamics of a mouse population model in hantavirus epidemics. It is shown that this difference scheme and the underlying system of differential equations have the same dynamics. The proof uses the fact that the total population obeys the logistic equation, as well as techniques from calculus, graphical analysis, and dynamical systems. |
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| Keywords: | Nonlinear finite difference equations Mathematical stability Hantavirus model Dynamical systems |
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