The role of weak prey refuge in the cooperation-competition balance of prey-predator systems DOI

Li-Ying Ning,

Dan Wu, Taichen Feng

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 27, 2024

Language: Английский

Pattern dynamics of vegetation based on optimal control theory DOI

Li-Feng Hou,

Li Li, Lili Chang

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Sept. 5, 2024

Language: Английский

Citations

5
Sustainable management of predatory fish affected by an Allee effect through marine protected areas and taxation DOI

Xiaoyue Yuan,

Wenjun Liu, Guangying Lv

et al.

Mathematical Biosciences, Journal Year: 2024, Volume and Issue: 373, P. 109220 - 109220

Published: May 24, 2024

Language: Английский

Citations

2
Co-dimension 2 bifurcation analysis of a tri-trophic food chain model with strong Allee effect and Crowley–Martin functional response DOI

Siti Nurnabihah Karim,

Tau Keong Ang

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 186, P. 115316 - 115316

Published: July 27, 2024

Language: Английский

Citations

1
Evolution of Turing patterns of a predator–prey system with variable carrying capacity and harvesting DOI
Lakpa Thendup Bhutia, Samir Biswas, Esita Das

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 191, P. 115790 - 115790

Published: Dec. 5, 2024

Language: Английский

Citations

1
Bifurcation analysis of a Leslie-type predator–prey system with prey harvesting and group defense DOI Creative Commons
Yongxin Zhang, Jianfeng Luo

Frontiers in Physics, Journal Year: 2024, Volume and Issue: 12

Published: June 19, 2024

In this paper, we investigate a Leslie-type predator–prey model that incorporates prey harvesting and group defense, leading to modified functional response. Our analysis focuses on the existence stability of system’s equilibria, which are essential for coexistence predator populations maintenance ecological balance. We identify maximum sustainable yield, critical factor achieving Through thorough examination positive equilibrium stability, determine conditions initial values promote survival both species. delve into dynamics by analyzing saddle-node Hopf bifurcations, crucial understanding system transitions between various states. To evaluate bifurcation, calculate first Lyapunov exponent offer quantitative assessment stability. Furthermore, explore Bogdanov–Takens (BT) co-dimension 2 scenario, employing universal unfolding technique near cusp point. This method simplifies complex reveals trigger such bifurcations. substantiate our theoretical findings, conduct numerical simulations, serve as practical validation predictions. These simulations not only confirm results but also showcase potential predicting real-world scenarios. in-depth contributes nuanced within interactions advances field modeling.

Language: Английский

Citations

1
Effective detection of early warning signal with power spectrum in climate change system DOI
Zheng Chen, Peiyi Fan,

Xintong Hou

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 187, P. 115409 - 115409

Published: Aug. 22, 2024

Language: Английский

Citations

1
Co-Dimension 2 Bifurcation Analysis of a Tri-Trophic Food Chain Model with Strong Allee Effect and Crowley-Martin Functional Response DOI

Siti Nurnabihah Karim,

Tau Keong Ang

Published: Jan. 1, 2024

This paper focuses on the species interaction within a tri-trophic food chain model involving species' mutual interference, characterised by Crowley-Martin functional response with strong Allee effect in prey species. First,the evaluation of solutions' positivity and boundedness is conducted. Subsequently, local stability equilibrium points analysed, Lyapunov function employed to assess global interior equilibrium. We have also established adequate criteria for detecting bifurcations. Sotomayor's theorem infers presence saddle-node transcritical Utilising centre manifold theory Hopf bifurcation theorem, emergence are investigated. Following this, numerical simulations performed so as validate theoretical findings analyse impacts greater details. The analysis reveals that system undergoes range bifurcations co-dimension one, including saddle-node, subcritical supercritical Furthermore, existence dynamics can be observed appearance Generalized-Hopf two diagram. suggest could trigger instability induce bi-stability phenomenon system's dynamical behaviours.

Language: Английский

Citations

0
Spatiotemporal fluctuation induces Turing pattern formation in the chemical Brusselator DOI Open Access
Quan Yuan, Sizhe Wang,

Ting Lai

et al.

Mathematical Methods in the Applied Sciences, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 8, 2024

Chemical reactions are embedded in spatiotemporal fluctuations instead of a constant environment. Here, we aimed to assess reaction–diffusion (RD) with dichotomous noise‐controlling system parameters the Brusselator and examine effect these on dynamic behavior chemical reactions. By performing multiscale perturbation analysis, demonstrated that correlated noise can broaden Turing region even if molecular memory (autocorrelation time) exists. However, for small noise, short‐term promotes instability. The instability is determined by strength, which belongs optimal diffusion coefficient fixed. pattern selection stability also governed character amplitude equation, entire shifts right phase space perturbation. Finally, numerical simulations validate theoretical derivation amplify formation maintain distinct patterns.

Language: Английский

Citations

0
The role of weak prey refuge in the cooperation-competition balance of prey-predator systems DOI

Li-Ying Ning,

Dan Wu, Taichen Feng

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 27, 2024

Language: Английский

Citations

0