Modelling and analysis of modified Leslie-Gower predator-prey with prey counter attacking
Year: 2026
Type: article
Abstract: Although the phenomenon of adult prey attacking juvenile predators is well documented in several ecological systems, its influence on predator-prey dynamics remains poorly understood. Motivated by this ecological phenomenon, we propose and analyze a modified Leslie-Gower predator-prey model incorporating prey anti-predator behavior (role reversal) together with a Holling type IV functional response. The proposed model exhibits multiple coexistence equilibria and a variety of dynamical behaviors, including Transcritical, Hopf, saddle-node, and Bogdanov-Takens bifurcations, as well as homoclinic orbits. Sufficient conditions for the occurrence of these bifurcations are derived analytically and verified through numerical simulations. The results show that anti-predator behavior fundamentally changes the qualitative dynamics by promoting prey persistence, generating bistability, and including abrupt transitions between alternative coexistence states. Moreover, increasing the intensity of anti-predator behavior enlarges the parameter region in which prey populations dominate predator populations. These findings demonstrate that prey role reversal can substantially reshape predator-prey interactions and provide new theoretical insights into the ecological consequences of anti-predator behavior.
Source: Scientific Reports
Authors: A Naga Lakshmi, K Durga Prasad
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,690
OpenAlex ID: W7225833133
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