Predator–prey models: A review of some recent advances

É Diz-Pita, MV Otero-Espinar - Mathematics, 2021 - mdpi.com
In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory

C Zhang, BS Han - Physica A: Statistical Mechanics and Its Applications, 2020 - Elsevier
In this paper, a novel kind of stochastic delayed complex networks with multi-weights
(SDCNMW) is considered. We first split SDCNMW into multiple stochastic complex networks …

Effects of additional food in a delayed predator–prey model

B Sahoo, S Poria - Mathematical biosciences, 2015 - Elsevier
We examine the effects of supplying additional food to predator in a gestation delay induced
predator–prey system with habitat complexity. Additional food works in favor of predator …

Explicit impacts of harvesting in delayed predator-prey models

B Barman, B Ghosh - Chaos, Solitons & Fractals, 2019 - Elsevier
Modeling population dynamics using delay differential equations and exploring the impacts
of harvesting in predator-prey systems are among few of the thrust areas of research in …

Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay

Z Xiao, X Xie, Y Xue - Advances in Difference Equations, 2018 - Springer
In this paper, we consider a Holling type II predator–prey model incorporating time delay
and Allee effect in prey. We discuss the influence of Allee effect on the logistic equation. By …

Explicit impacts of harvesting on a delayed predator–prey system with Allee effect

B Bhunia, TK Kar, P Debnath - International Journal of Dynamics and …, 2024 - Springer
We propose a delayed predator–prey model with the Allee effect and individual harvesting
of each species. Comparatively, fewer analyses are made to explore the impacts of …

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 …

Effects on prey–predator with different functional responses

B Roy, SK Roy, MHA Biswas - International Journal of …, 2017 - World Scientific
In this paper, we investigate the effects on prey of two predators which are also related in
terms of prey–predator relationship. Different types of functional responses are considered …

Effect of delay on globally stable prey–predator system

N Juneja, K Agnihotri, H Kaur - Chaos, Solitons & Fractals, 2018 - Elsevier
The present paper deals with an eco-epidemiological prey–predator model with delay. It is
assumed that infection floats in predator species only. Both the susceptible and infected …

Analysis of prey-predator three species models with vertebral and invertebral predators

B Roy, SK Roy - International Journal of Dynamics and Control, 2015 - Springer
In this paper, we consider a mathematical model involving three species namely prey,
predator and super predator. Different type functional responses have been considered to …