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A Predator-Prey Model with Fear Factor, Allee Effect and Periodic Harvesting

  • Dipo AldilaEmail author
  • Padma Sindura Adhyarini
Conference paper
  • 27 Downloads
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 123)

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.

Keywords

Predator Prey Allee effect Fear factor Anti-predation Periodic harvesting 

Notes

Acknowledgments

We thank to all reviewers for their valuable comments. This research is funded by Universitas Indonesia with PITTA research grant Scheme, 2019 (ID number: NKB-0627/UN2.R3.1/HKP.05.00/2019).

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of MathematicsUniversitas IndonesiaDepokIndonesia

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