TY - JOUR
T1 - Dynamics of a predator–prey model with generalized Holling type functional response and mutual interference
AU - Antwi-Fordjour, Kwadwo
AU - Parshad, Rana D.
AU - Beauregard, Matthew A.
N1 - Funding Information:
The authors would like to acknowledge valuable assistance by an anonymous referee in improving the overall quality of the manuscript, and greatly assisting with the proof of Theorem 5.1 . RP and MB would like to acknowledge valuable partial support from the National Science Foundation via DMS 1839993 and DMS 1715044 . KAF acknowledges the support received from Samford Faculty Development Grant (FUND 243084 ).
Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2020/8
Y1 - 2020/8
N2 - 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.
AB - 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.
KW - Analytic guidelines
KW - Finite time extinction
KW - Generalized interference
KW - Hopf-bifurcation
KW - Prey refuge
UR - https://www.scopus.com/pages/publications/85086710775
UR - https://www.scopus.com/pages/publications/85086710775#tab=citedBy
U2 - 10.1016/j.mbs.2020.108407
DO - 10.1016/j.mbs.2020.108407
M3 - Article
C2 - 32565230
AN - SCOPUS:85086710775
SN - 0025-5564
VL - 326
JO - Mathematical Biosciences
JF - Mathematical Biosciences
M1 - 108407
ER -