[HTML][HTML] Spatiotemporal dynamics of reaction–diffusion models of interacting populations

LN Guin, PK Mandal - Applied Mathematical Modelling, 2014 - Elsevier
The present investigation deals with the necessary conditions for Turing instability with zero-
flux boundary conditions that arise in a ratio-dependent predator–prey model involving the …

Comparative analysis between prey-dependent and ratio-dependent predator–prey systems relating to patterning phenomenon

LN Guin, H Baek - Mathematics and Computers in Simulation, 2018 - Elsevier
In this paper, we explore two different kinds of reaction–diffusion predator–prey systems with
quadratic intra-predator interaction and linear prey harvesting. One has a Holling type II …

Complex dynamics in a reaction-cross-diffusion model with refuge depending on predator–prey encounters

R Han, LN Guin, S Acharya - The European Physical Journal Plus, 2022 - Springer
The contemporary study copes with a generalist predator–prey model with nonlinear cross-
diffusion embracing prey refuge in proportion to both the species along with the ratio …

Consequences of refuge and diffusion in a spatiotemporal predator–prey model

R Han, LN Guin, B Dai - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
In this investigation, we offer and examine a predator–prey interacting model with prey
refuge in proportion to both the species and Beddington–DeAngelis functional response. We …

Cross-diffusion-driven instability in an interacting species model with prey refuge

LN Guin, S Djilali, S Chakravarty - Chaos, Solitons & Fractals, 2021 - Elsevier
The present study appertains to a reaction-diffusion system embracing two-dimensional
continuous Beddington-DeAngelis predator-prey model incorporating intra-specific …

Existence of spatial patterns in a predator–prey model with self-and cross-diffusion

LN Guin - Applied Mathematics and Computation, 2014 - Elsevier
In this work, we investigate the spatiotemporal dynamics of reaction–diffusion equations
subject to cross-diffusion in the frame of a two-dimensional ratio-dependent predator–prey …

Dynamics of a diffusion reaction prey–predator model with delay in prey: Effects of delay and spatial components

F Rao, C Castillo-Chavez, Y Kang - Journal of Mathematical Analysis and …, 2018 - Elsevier
We study the complex dynamics of a Monod–Haldane-type predator–prey interaction model
that incorporates:(1) A constant time delay in the prey growth; and (2) diffusion in both prey …

Mathematical analysis of a delayed stage-structured predator–prey model with impulsive diffusion between two predators territories

J Dhar, KS Jatav - Ecological Complexity, 2013 - Elsevier
In most models of population dynamics, diffusion between two patches is assumed to be
either continuous or discrete, but in reality, many species diffuse only during a single period …

Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response

LN Guin, PK Mandal - International Journal of Biomathematics, 2014 - World Scientific
In this paper, spatial patterns of a diffusive predator–prey model with sigmoid (Holling type
III) ratio-dependent functional response which concerns the influence of logistic population …

[HTML][HTML] Spatiotemporal dynamics in a diffusive ratio-dependent predator–prey model near a Hopf–Turing bifurcation point

Y Song, X Zou - Computers & Mathematics with Applications, 2014 - Elsevier
Spatiotemporal dynamics in a ratio-dependent predator–prey model with diffusion is studied
by analytical methods. Normal forms associated with codimension-two Hopf–Turing …