A predator-prey model with fear factor, allee effect and periodic harvesting

Dipo Aldila, Padma Sindura Adhyarini

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A two-dimensional predator-prey model constructed in this article to study how the fear of predator on prey will reduce the intrinsic growth rate of prey. The Allee effect in prey population is included to describe the minimum requirement of the individual to achieve the positive growth of the prey population. Anti-predation and harvesting on the predator population are also considered in the model. We non-dimensionalized the model first before analyzing the existence and the local stability criteria of all equilibrium points. The analytical results showed how the harvesting intervention would determine the local stability criteria of the coexistence equilibrium point. We found that the time scale separation does not impact the stability of equilibrium points. Some numerical simulation is given to show how the system behaves depend on the periodic harvesting interventions.

Original languageEnglish
Title of host publicationLecture Notes in Networks and Systems
PublisherSpringer
Pages12-23
Number of pages12
DOIs
Publication statusPublished - 1 Jan 2020

Publication series

NameLecture Notes in Networks and Systems
Volume123
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389

Keywords

  • Allee effect
  • Anti-predation
  • Fear factor
  • Periodic harvesting
  • Predator
  • Prey

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    Aldila, D., & Adhyarini, P. S. (2020). A predator-prey model with fear factor, allee effect and periodic harvesting. In Lecture Notes in Networks and Systems (pp. 12-23). (Lecture Notes in Networks and Systems; Vol. 123). Springer. https://doi.org/10.1007/978-3-030-43002-3_2