5 papers
Global existence, blow-up behavior and numerical simulations for a class of chemotaxis-driven fish-mussel systems
Gnanasekaran Shanmugasundaram, Jitraj Saha
In this work, we investigate a chemotaxis-driven fish--mussel ecosystem model described by a coupled system of partial differential equations subject to homogeneous Neumann boundar…
Global dynamics and diffusion-driven pattern formation in a predator-prey system with two chemicals
Gnanasekaran Shanmugasundaram, Jitraj Saha, Oluwole Daniel Makinde +1
This work analyzes a predator-prey cross-diffusion system coupled with two chemical substances under homogeneous Neumann boundary conditions in a bounded domain Omega subset of R^n…
Global existence and stability in a class of chemotaxis systems with lethal interactions, nonlinear diffusion and production
Gnanasekaran Shanmugasundaram, Jitraj Saha
This paper investigates a class of chemotaxis systems modeling lethal interactions in a smooth, bounded domain with homogeneous Neumann boundary conditions.…
The simultaneous effect of chemotaxis and alarm-taxis on the global existence and stability of a predator-prey system
Gnanasekaran Shanmugasundaram, Jitraj Saha, Rafael Díaz Fuentes
This study examines a fully parabolic predator-prey chemo-alarm-taxis system under homogeneous Neumann boundary conditions in a bounded domain with a smooth…
Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
Gnanasekaran Shanmugasundaram, Nithyadevi Nagarajan
This paper deals with the following attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions \[ \left\{ \begin{array}{rrll} &&u_t = d_1 Δu-χ\n…