A FREE BOUNDARY PROBLEM OF SOME MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH SHIFTING ENVIRONMENTS

Yang Xia; Hongmei Cheng; Rong Yuan

doi:10.11948/20210505

2022 Volume 12 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2022 > 12(6): 2396-2425

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Yang Xia, Hongmei Cheng, Rong Yuan. A FREE BOUNDARY PROBLEM OF SOME MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH SHIFTING ENVIRONMENTS[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2396-2425. doi: 10.11948/20210505

Citation:

Yang Xia, Hongmei Cheng, Rong Yuan. A FREE BOUNDARY PROBLEM OF SOME MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH SHIFTING ENVIRONMENTS[J]. Journal of Applied Analysis & Computation, 2022, 12(6): 2396-2425. doi: 10.11948/20210505

A FREE BOUNDARY PROBLEM OF SOME MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH SHIFTING ENVIRONMENTS

1.
School of Mathematics and Statistics, Shandong Normal University, Jinan, China
2.
School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

Corresponding author: Email: hmcheng@sdnu.edu.cn(H. Cheng)

Abstract

Abstract

In this paper, we mainly study the long time dynamical behavior of the Leslie-Gower prey-predator model with two free boundaries in some shifting environments. We assume that the unfavourable region of the environment moves into the otherwise favourable homogeneous environment with a given speed c>0 in the spreading direction of the prey and predator. We focus on the invasion of introduced predator in the new habitat. We show that such shifting environments could reverse the fates of the prey and the predator can be able to successfully invade. A complete discussion of the long time behavior of the model can be obtained for such cases.
- Shifting environments /
- predator-prey model /
- free boundary /
- spreading and vanishing /
- spreading speed
MSC: 35K20, 35R35, 35J60, 92B05

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References

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