Bifurcations in a Leslie-Gower type predator-prey model with a rational non-monotonic functional response
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 so...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2022-08-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/15528 |
| Summary: | 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.
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| ISSN: | 1392-6292 1648-3510 |