SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT

Tong Wang; Binxiang Dai

doi:10.11948/20220543

2023 Volume 13 Issue 6

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Tong Wang, Binxiang Dai. SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3195-3202. doi: 10.11948/20220543

Citation:

Tong Wang, Binxiang Dai. SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3195-3202. doi: 10.11948/20220543

SPREADING SPEED OF A NONLOCAL DIFFUSIVE LOGISTIC MODEL WITH FREE BOUNDARIES IN TIME PERIODIC ENVIRONMENT

Tong Wang^1,,
Binxiang Dai^1, ,

1.
School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China

Author Bio: Email: tongwang004@csu.edu.cn(T. Wang)
Corresponding author: Email: bxdai@csu.edu.cn(B. Dai)
Fund Project: The authors were supported by National Natural Science Foundation of China(No. 12271525)

Abstract

Abstract

In Zhang, Liu and Zhou [11], a nonlocal diffusion model with double free boundaries in time periodic environment was introduced and studied. A spreading-vanishing dichotomy is shown to govern the long time dynamical behavior. However, when spreading happens, the spreading speed was left open in [11]. In this paper, we answer this question. We obtain the spreading speed by solving the associated time periodic semi-wave problems and constructing new upper and lower solutions.
- Nonlocal diffusion /
- time periodic /
- free boundary /
- spreading speed
MSC: 35R09, 35R35, 35K51

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References

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