The permanence and extinction of a nonlinear growth rate single-species non-autonomous dispersal models with time delays |
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Authors: | ChunLing Shi Zhong Li Fengde Chen |
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Institution: | aCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, PR China |
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Abstract: | In this paper, we consider the effect of diffusion on the permanence and extinction of a non-autonomous nonlinear growth rate single-species dispersal model with time delays. Firstly, the sufficient conditions of the permanence and extinction of the species are established, which shows if the growth rate and dispersal coefficients is suitable, the species is permanent, on the contrary, it is extinction. Secondly, an interesting result is established, that is, if only the species in some patches even in one patch is permanent, then it is also permanent in other patches. Finally, some examples together with their numerical simulations show the feasibility of our main results. |
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Keywords: | Single-species Non-autonomous Dispersal Delays Permanence Extinction |
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