Dynamics of the logistic harvesting model with infinite delay on periodically evolving domains

Sumei Sun, Liqiong Pu, Zhigui Lin

Abstract


In order to understand the impact of periodic evolution in habitats on the survival of species, a logistic reaction diffusion harvesting model with infinite delay in a periodically evolving domain is studied. By assuming that the evolving domain is uniform and isotropic, the model is converted into a reaction diffusion problem in a fixed domain. The asymptotic behavior of the model is obtained by using principal eigenvalue and the upper and lower solutions method, and a biological explanation of the impact of regional evolution on species is given. Our theoretical results and numerical simulations show that big evolution rate benefits the survival of species.

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Published: 2018-08-06

How to Cite this Article:

Sumei Sun, Liqiong Pu, Zhigui Lin, Dynamics of the logistic harvesting model with infinite delay on periodically evolving domains, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 16

Copyright © 2018 Sumei Sun, Liqiong Pu, Zhigui Lin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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