Related Experiment Video
Updated: Apr 16, 2026

Linking Predation Risk, Herbivore Physiological Stress and Microbial Decomposition of Plant Litter
Published on: March 12, 2013
A delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effect
Santanu Biswas1, Sourav Kumar Sasmal1, Sudip Samanta2
1Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700108, India.
Abstract:
We consider a system of delay differential equations to represent predator-prey eco-epidemic dynamics with weak Allee effect in the growth of predator population. The basic aim of the paper is to observe the dynamics of such system under the influence of gestation delay of predator and Allee parameter. We analyze essential mathematical features of the proposed model such as uniform persistence, stability and Hopf-bifurcation at the interior equilibrium point of the system. Global asymptotic stability analysis of the positive equilibrium points by constructing a suitable Lyapunov function for the delayed model is carried out separately. We perform several numerical simulations to illustrate the applicability of the proposed mathematical model and our analytical findings. We observe that the system exhibits chaotic oscillation due to increase of the delay parameter τ. We also observe that there is a threshold of Allee parameter above which the predator population will be washed away from the system.
More Related Videos
Related Concept Videos
Population Growth
Predator-Prey Interactions
Optimal Foraging
Microbial Interactions: Predation
Modeling with Differential Equations
Frequency-dependent Selection

