Chaos is not rare in natural ecosystems

TL Rogers, BJ Johnson, SB Munch - Nature ecology & evolution, 2022 - nature.com
Chaotic dynamics are thought to be rare in natural populations but this may be due to
methodological and data limitations, rather than the inherent stability of ecosystems …

Fixed points stability, bifurcation analysis, and chaos control of a Lotka–Volterra model with two predators and their prey

MA Abbasi - International Journal of Biomathematics, 2024 - World Scientific
The study of the population dynamics of a three-species Lotka–Volterra model is crucial in
gaining a deeper understanding of the delicate balance between prey and predator …

[PDF][PDF] Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor

R Ma, Y Bai, F Wang - J. Appl. Anal. Comput, 2020 - researchgate.net
This paper investigates the dynamics of an improved discrete Leslie-Gower predator-prey
model with prey refuge and fear factor. First, a discrete Leslie-Gower predator-prey model …

Dynamical behavior of a discrete-time predator–prey system incorporating prey refuge and fear effect

C Mondal, D Kesh, D Mukherjee - Chinese Journal of Physics, 2024 - Elsevier
This paper explores the effects of fear and refuge in a discrete-time two species predator–
prey model. The fraction of prey that seeks refuge is assumed to be proportional to the …

Bifurcation analysis and chaos control in discrete-time modified Leslie–Gower prey harvesting model

M Bilal Ajaz, U Saeed, Q Din, I Ali… - Advances in Difference …, 2020 - Springer
We investigate the dynamical behavior of a modified Leslie–Gower prey–predator model
with harvesting in prey population. In order to explore rich dynamics of the model, Euler …

Codimension-one bifurcation analysis and chaos control in a discrete pro-and anti-tumor macrophages model

L Niu, Q Chen, Z Teng - International Journal of Dynamics and Control, 2024 - Springer
The study of genetically engineered macrophages killing tumor cells has become the most
promising new direction of cancer therapy. In this paper, we consider discrete macrophages …

[HTML][HTML] Stability, bifurcation, and control: Modeling interaction of the predator-prey system with Alles effect

M Qurban, A Khaliq, M Saqib, T Abdeljawad - Ain Shams Engineering …, 2024 - Elsevier
In this study, we investigate the resilience and bifurcation properties of a discrete-time
predator-prey model incorporating an Allee effect, the transfer of prey to predator energy …

Global stability and bifurcation analysis of an infochemical induced three species discrete-time phytoplankton–zooplankton model

C Mondal, D Kesh, D Mukherjee - Chaos, Solitons & Fractals, 2023 - Elsevier
This article analyzes a discrete-time three-species model of phytoplankton and zooplankton
with infochemical producing, non-infochemical producing, and zooplankton. It is assumed …

Incommensurate conformable-type three-dimensional Lotka–Volterra model: discretization, stability, and bifurcation

F Yousef, B Semmar, K Al Nasr - Arab Journal of Basic and Applied …, 2022 - Taylor & Francis
Abstract The classic Lotka–Volterra model is a two-dimensional system of differential
equations used to model population dynamics among two-species: a predator and its prey …

[HTML][HTML] A discrete-time dynamical model of prey and stage-structured predator with juvenile hunting incorporating negative effects of prey refuge

D Bhattacharjee, N Ray, D Das, HK Sarmah - Partial Differential Equations …, 2024 - Elsevier
This paper examines a discrete predator–prey model that incorporates prey refuge and its
detrimental impact on the growth of the prey population. Age structure is taken into account …