Effects of impulsive harvesting and an evolving domain in a diffusive logistic model

Yue Meng, Zhigui Lin*, Michael Pedersen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

In order to understand how the combination of domain evolution and impulsive harvesting affect the dynamics of a population, we propose a diffusive logistic population model with impulsive harvesting on a periodically evolving domain. Initially the ecological reproduction index of the impulsive problem is introduced and given by an explicit formula, which depends on the domain evolution rate and the impulsive function. Then the threshold dynamics of the population under monotone or nonmonotone impulsive harvesting is established based on this index. Finally numerical simulations are carried out to illustrate our theoretical results, and reveal that a large domain evolution rate can improve the population survival, no matter which impulsive harvesting takes place. Contrary, impulsive harvesting has a negative effect on the population survival, and can even lead to the extinction of the population
Original languageEnglish
JournalJournal of Differential Equations
Number of pages20
ISSN0022-0396
Publication statusSubmitted - 2021

Keywords

  • Impulsive harvesting
  • Evolving domain
  • Ecological reproduction index
  • Threshold dynamics
  • Persistence and extinction

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