Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton–zooplankton model with Allee effect

R Han, B Dai - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
The spatiotemporal pattern formation and selection driven by nonlinear cross-diffusion of a
toxic-phytoplankton–zooplankton model with Allee effect is investigated in this paper. We …

Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching

X Yu, S Yuan, T Zhang - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
Allee effect can interact with environment stochasticity and is active when population
numbers are small. Our goal of this paper is to investigate such effect on population …

Non-constant steady states and Hopf bifurcation of a species interaction model

M Chen, R Wu, X Wang - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
In this paper, we are concerned with the species interaction model with the ratio-dependent
Holling III functional response and strong Allee effect. To explore nonhomogeneous …

Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator

D Sen, S Ghorai, S Sharma, M Banerjee - Applied Mathematical Modelling, 2021 - Elsevier
Prey-predator models with Allee effect have great importance in the context of ecology. Allee
effect refers to a positive relationship between population density and per capita growth rate …

Allee effect increasing the final density of the species subject to the Allee effect in a Lotka–Volterra commensal symbiosis model

Q Lin - Advances in Difference Equations, 2018 - Springer
A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect is
proposed and studied in this paper. Local and global stability property of the equilibria are …

A Holling type commensal symbiosis model involving Allee effect

R Wu, L Li, Q Lin - Commun. Math. Biol. Neurosci., 2018 - scik.org
A HOLLING TYPE COMMENSAL SYMBIOSIS MODEL INVOLVING ALLEE EFFECT Page 1
Available online at http://scik.org Commun. Math. Biol. Neurosci. 2018, 2018:6 https://doi.org/10.28919/cmbn/3679 …

Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey

D Bai, Y Kang, S Ruan, L Wang - Nonlinear analysis: real world …, 2021 - Elsevier
Since intraguild predation (IGP) is a ubiquitous and important community module in nature
and Allee effect has strong impact on population dynamics, in this paper we propose a three …

The complex dynamics of a diffusive prey–predator model with an Allee effect in prey

F Rao, Y Kang - Ecological complexity, 2016 - Elsevier
This paper investigates complex dynamics of a predator–prey interaction model that
incorporates:(a) an Allee effect in prey;(b) the Michaelis–Menten type functional response …

Dynamics of a predator-prey system with prey subject to Allee effects and disease

Y Kang, SK Sasmal, AR Bhowmick… - Mathematical …, 2014 - aimsciences.org
In this article, we propose a general predator-prey system where prey is subject to Allee
effects and disease with the following unique features:(i) Allee effects built in the …

A discrete-time host–parasitoid model with an Allee effect

G Livadiotis, L Assas, B Dennis, S Elaydi… - Journal of Biological …, 2015 - Taylor & Francis
We introduce a discrete-time host–parasitoid model with a strong Allee effect on the host.
We adapt the Nicholson–Bailey model to have a positive density dependent factor due to the …