Dynamically consistent discrete metapopulation model |
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| Authors: | Quang A Dang Manh Tuan Hoang |
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| Institution: | 1. Center for Informatics and Computing, Vietnam Academy of Science and Technology (VAST), Hanoi, Vietnam.dangquanga@cic.vast.vn;3. Institute of Information Technology, Vietnam Academy of Science and Technology (VAST), Hanoi, Vietnam. |
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| Abstract: | In this paper we construct nonstandard difference schemes, which are dynamically consistent with a metapopulation model formulated by Keymer et al. in 2000, i.e. preserve all dynamical properties of the differential equations of the model. These properties are: monotone convergence, boundedness, local asymptotic stability and especially, global stability of equilibria and non-periodicity of solutions. Numerical examples confirm the obtained theoretical results of the properties of the constructed difference schemes. |
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| Keywords: | Metapopulation model nonstandard finite-difference scheme dynamically consistent global stability non-periodicity |
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