Emergence of Bursting and Delay-Induced Spiral Patterns in Eco-Epidemiological Systems
by Namrata Mani Tripathi
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Understanding the spatio-temporal dynamics of interacting populations is crucial for ecological systems. We develop an eco-epidemic model with susceptible and infected prey and predators, incorporating carryover $(f_1)$, fear $(f_2)$, and recovery $(\gamma)$. Existence, boundedness, and Hopf bifurcation are established. Without delays, $f_1$ stabilizes while $f_2$ destabilizes dynamics, and recovery affects populations. With delays, chaotic oscillations and bursting arise in unstable regimes, while sufficient recovery suppresses delay effects. Spatial analysis shows Turing patterns, where delays and recovery shape spirals and clusters, influencing ecosystem stability.
Delay-driven eco-epidemic dynamics illustrating how fear, carryover, and recovery generate chaotic oscillations and spiral pattern formation in space.
