Cauchy problem for a system of dynamics of biological groups |
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| Authors: | Peidong Lei Hong You |
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| Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Abstract: | In this paper, we establish the existence and uniqueness of weak solutions for a class of degenerate diffusion systems which arise from modelling interacting evolution of two biological groups. Especially, some interesting properties, such as non-extinction, coexistence, expansion of the living spaces, etc. are proved. |
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| Keywords: | Nonlinear diffusion system Non-extinction Coexistence Expansion of the living spaces |
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