7 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…
On the discrete to continuous condensing aggregation equation: A weak convergence approach
Anupama Ghorai, Jitraj Saha
In this article, we study the passage of limits from discrete to continuous condensing aggregation equation which comprises of Oort-Hulst-Safronov (OHS) equation together with inve…
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…
Convergence-rate and error analysis of sectional-volume average method for the collisional breakage equation with multi-dimensional modelling
Prakrati Kushwah, Anupama Ghorai, Jitraj Saha
Recent literature reports two sectional techniques, the finite volume method [Das et al., 2020, SIAM J. Sci. Comput., 42(6): B1570-B1598] and the fixed pivot technique [Kushwah et…
Existence and uniqueness of solutions for coagulation-fragmentation problems with singularity
Jitraj Saha, Jitendra Kumar
In this paper, existence and uniqueness of solutions to a non-linear, initial value problem is studied. In particular, we consider a special type of problem which physically repres…