Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect
Dynamical Systems
2025-04-01 v1
Abstract
In this paper, we consider a non-autonomous allelopathic phytoplankton competition ODE model, incorporating the influence of fear effects observed in natural biological phenomena. Based on Mawhin's coincidence degree theory some sufficient conditions for existence of periodic solutions are obtained. We validate our findings through an illustrative example and numerical simulations, showing that constant coefficients lead to steady-state dynamics, while periodic variations induce oscillatory behavior.
Keywords
Cite
@article{arxiv.2503.23901,
title = {Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect},
author = {Satyam Narayan Srivastava and Alexander Domoshnitsky and Seshadev Padhi and Rana D. Parshad},
journal= {arXiv preprint arXiv:2503.23901},
year = {2025}
}