Persistence in seasonally varying predator-prey systems with Allee effect
Carlota Rebelo, Cinzia Soresina
TL;DR
This paper analyzes a seasonally-varying predator-prey model with Allee effect, establishing conditions for coexistence and exploring complex dynamics like periodic orbits through numerical simulations.
Contribution
It introduces a generalized model incorporating Allee effect and seasonality, providing new conditions for coexistence and analyzing modified Leslie-Gower systems.
Findings
Conditions for predator-prey coexistence are established.
Presence of periodic orbits demonstrated through numerical simulations.
Impact of Allee effect on system dynamics is characterized.
Abstract
A generalized seasonally-varying predator-prey model with Allee effect in the prey growth is investigated. The analysis is performed only on the basis of some properties determining the shape of the prey growth rate and the trophic interaction functions. General conditions for coexistence are determined, both in the case of weak and strong Allee effect. Finally, a modified Leslie-Gower predator-prey model with Allee effect is investigated. Numerical results illustrate the qualitative behaviors of the system, in particular the presence of periodic orbits.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Stochastic processes and statistical mechanics · Evolution and Genetic Dynamics