Dynamics of a predator–prey model with generalized Holling type functional response and mutual interference

Kwadwo Antwi-Fordjour, Rana D. Parshad, Matthew A. Beauregard

Research output: Contribution to journalArticlepeer-review


The study examines the impact of mutual interference and prey refuge on predator-prey dynamics using a generalized Holling type functional response model. It also explores the model's application to infectious disease spread. The paper delves into various dynamical properties and states conditions for different bifurcations and for the finite time extinction of prey species. Further, it investigates how prey refuge affects population dynamics and finds conditions under which it leads to population persistence. The results, validated through numerical simulations, align with classical ecological findings that, while extinction of predator and prey populations can occur in a finite time, introducing a refuge can significantly promote population persistence.
Original languageEnglish
Article number108407
JournalMathematical Biosciences
StatePublished - Aug 2020

ASJC Scopus Subject Areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry,Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


  • Analytic guidelines
  • Finite time extinction
  • Generalized interference
  • Hopf-bifurcation
  • Prey refuge

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