数学研究(英文)2024,Vol.57Issue(3) :294-308.DOI:10.4208/jms.v57n3.24.04

Some Progress on Single Species Models with Nonlocal Dispersal Strategies in Heterogeneous Environments

Xueli Bai Fang Li Jiale Shi
数学研究(英文)2024,Vol.57Issue(3) :294-308.DOI:10.4208/jms.v57n3.24.04

Some Progress on Single Species Models with Nonlocal Dispersal Strategies in Heterogeneous Environments

Xueli Bai 1Fang Li 2Jiale Shi2
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作者信息

  • 1. Research&Institute of Northwestern Polytechnical University in Shenzhen,No.45 Gaoxin South 9th Road,Shenzhen 518063,China;School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an,Shaanxi 710072,China
  • 2. School of Mathematics,Sun Yat-sen University,Guangzhou,Guangdong 510275,China
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Abstract

In this paper,we consider a single species model with nonlocal dispersal strategy and discuss how the dispersal rate and the distribution of resources affect the total population and survival chances by summarizing some previous results and demonstrate some relevant progress.The first topic is about the monotonicity of total population upon dispersal rate.For the nonlocal model,we prove a new result,which reveals essential difference between local and nonlocal models for certain distribution of resources.Secondly,we discuss optimal spatial arrangement for survival chances and total populations.The results for both local and nonlocal models demonstrate that the concentration of resources is beneficial for species.

Key words

Total population/nonlocal dispersal/heterogeneity

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出版年

2024
数学研究(英文)
厦门大学教学科学学院

数学研究(英文)

影响因子:0.157
ISSN:2096-9856
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