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Bifurcations in a Leslie-Gower Type Predator-Prey Model with a Rational Non-Monotonic Functional Response.
- Source :
-
Mathematical Modelling & Analysis . 2022, Vol. 27 Issue 3, p510-532. 23p. - Publication Year :
- 2022
-
Abstract
- A Leslie-Gower type predator-prey model including group defense formation is analyzed. This phenomenon, described by a non-monotonic function originates interesting dynamics; positiveness, boundedness, permanence of solutions, and existence of up to three positive equilibria are established. The solutions are highly sensitive to initial conditions since there exists a separatrix curve dividing their behavior. Two near trajectories can have far omega-limit sets. The weakness of a singularity is established showing two limit cycles can exist. Numerical simulations endorse the analytical outcomes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIMIT cycles
*LOTKA-Volterra equations
*GROUP formation
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 13926292
- Volume :
- 27
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematical Modelling & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 158574329
- Full Text :
- https://doi.org/10.3846/mma.2022.15528