arXiv subjects

Seshadev Padhi

Publications and source records attributed to Seshadev Padhi.

2 recordsLinked to original sources

arXiv2025

Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect

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.

math.DS↗

arXiv2019

Positive Solutions for Nonlinear Elliptic Equations Depending on a Parameter with Dirichlet Boundary Conditions

We prove new results on the existence of positive radial solutions of the elliptic equation $-Δu= λh(|x|,u)$ in an annular domain in $\mathbb{R}^{N}, N\geq 2$. Existence of positive radial solutions are determined under the conditions that the nonlinearity function $h(t,u)$ is either superlinear or sublinear growth in $u$ or satisfies some upper and lower inequalities on $h$. Our discussion is based on a fixed point theorem due to a revised version of a fixed point theorem of Gustafson and Schmitt.

math.AP↗