Abstract

In this paper, our aim is mathematical analysis and numerical simulation of a prey-predator model to describe the effect of predation between prey and predator with nonlinear functional response. First, we develop results concerning the boundedness, the existence and uniqueness of the solution. Furthermore, the Lyapunov principle and the Routh–Hurwitz criterion are applied to study respectively the local and global stability results. We also establish the Hopf-bifurcation to show the existence of a branch of nontrivial periodic solutions. Finally, numerical simulations have been accomplished to validate our analytical findings.

Details

Title
A mathematical analysis of Hopf-bifurcation in a prey-predator model with nonlinear functional response
Author
Savadogo Assane 1 ; Boureima, Sangaré 1   VIAFID ORCID Logo  ; Ouedraogo Hamidou 2 

1  UNB, Department of Mathematics and Informatics, UFR/ST, Bobo Dioulasso, Burkina Faso (GRID:grid.442667.5) (ISNI:0000 0004 0474 2212) 
2  UNB, Department of Mathematics and Informatics, Bobo Dioulasso, Burkina Faso (GRID:grid.442667.5) (ISNI:0000 0004 0474 2212) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03437-2
ProQuest document ID
2536656610
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.