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| Spreading Speeds of Time-Dependent Partially Degenerate Reaction-Diffusion Systems* |
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Citation： |
Jia LIU,Xiaole SU,Hongwei SUN.Spreading Speeds of Time-Dependent Partially Degenerate Reaction-Diffusion Systems*[J].Chinese Annals of Mathematics B,2022,43(1):79~94 |
| Page view： 537
Net amount： 361 |
Authors： |
Jia LIU; Xiaole SU;Hongwei SUN |
Foundation： |
National Natural Science Foundation of China (Nos. 41801029,11701041) and the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2020JM-223). |
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| Abstract： |
This paper is concerned with the spreading speeds of time dependent partially degenerate reaction-diffusion systems with monostable nonlinearity. By using the principal Lyapunov exponent theory, the author first proves the existence, uniqueness and stability of spatially homogeneous entire positive solution for time dependent partially degenerate reaction-diffusion system. Then the author shows that such system has a finite spreading speed interval in any direction and there is a spreading speed for the partially degenerate system under certain conditions. The author also applies these results to a time dependent partially degenerate epidemic model. |
Keywords： |
Partially degenerate, Reaction-diffusion system, Time dependent,Spreading speed |
Classification： |
35K65, 35K57, 92D25 |
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