Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

C Arancibia-Ibarra, P Aguirre, J Flores… - Applied Mathematics and …, 2021 - Elsevier
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …

A novel particle swarm optimization based on prey–predator relationship

H Zhang, M Yuan, Y Liang, Q Liao - Applied Soft Computing, 2018 - Elsevier
Particle swarm optimization (PSO) is a widely used nature-inspired optimization algorithm
based on population and has strong robustness and good global astringency. In the mid …

Spatio-temporal pattern formation in Rosenzweig–Macarthur model: effect of nonlocal interactions

M Banerjee, V Volpert - Ecological complexity, 2017 - Elsevier
Spatio-temporal pattern formation in reaction–diffusion models of interacting populations is
an active area of research due to various ecological aspects. Instability of homogeneous …

[HTML][HTML] Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations

M Banerjee, S Ghorai, N Mukherjee - Applied mathematical modelling, 2018 - Elsevier
Cross-diffusion models the situation where the presence, absence or abundance of one
species of population affects the movement of other species of population in the domain …

A mathematical study for chaotic dynamics of dissolved oxygen-phytoplankton interactions under environmental driving factors and time lag

A Gökçe - Chaos, Solitons & Fractals, 2021 - Elsevier
Dynamics of the species in the ecosystem is constantly influenced by environmental
variations, eg salinity, nutrient and temperature are among commonly investigated factors by …

Spatiotemporal dynamics of a prey–predator model with Allee effect in prey and hunting cooperation in a Holling type III functional response

R Yadav, N Mukherjee, M Sen - Nonlinear Dynamics, 2022 - Springer
In this work, we have studied a spatiotemporal prey–predator model with Allee effect in prey
and hunting cooperation in predator. In available literature, a prey-dependent functional …

[HTML][HTML] An effective Allee effect may induce the survival of low-density predator

LY Ning, XF Luo, BL Li, YP Wu, GQ Sun, TC Feng - Results in Physics, 2023 - Elsevier
Allee effect, as one of the research hotspots in ecology and conservation biology, extremely
easily affects the distribution of population in space, especially for the low-density …

Detection of turing patterns in a three species food chain model via amplitude equation

N Mukherjee, S Ghorai, M Banerjee - Communications in Nonlinear …, 2019 - Elsevier
Study of pattern formation in three species spatio-temporal food chain models with the help
of amplitude equations within Turing domain is a much less explored area compared to that …

Dynamics of Leslie–Gower model with double Allee effect on prey and mutual interference among predators

B Tiwari, SN Raw - Nonlinear Dynamics, 2021 - Springer
In this paper, a Leslie–Gower-type model is proposed to study a diffusive predator–prey
system with multiple Allee effects acting on the growth rate of the prey population. Crowley …

Analysis of a prey–predator model with non-local interaction in the prey population

S Pal, S Ghorai, M Banerjee - Bulletin of Mathematical Biology, 2018 - Springer
Non-local reaction–diffusion equation is an important area to study the dynamics of the
individuals which compete for resources. In this paper, we describe a prey-dependent …