Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect

A Sha, S Samanta, M Martcheva… - Journal of biological …, 2019 - Taylor & Francis
This paper considers an eco-epidemiological model with disease in the prey population.
The disease in the prey divides the total prey population into two subclasses, susceptible …

[图书][B] Introduction to mathematical modeling and chaotic dynamics

RK Upadhyay, SRK Iyengar - 2013 - books.google.com
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical
models in natural systems, particularly ecological systems. Most of the models presented are …

Stabilization and complex dynamics in a predator–prey model with predator suffering from an infectious disease

BW Kooi, GAK van Voorn, K pada Das - Ecological Complexity, 2011 - Elsevier
We study the effects of a non-specified infectious disease of the predator on the dynamics a
predator–prey system, by evaluating the dynamics of a three-dimensional model. The …

A review of chaos control strategies for tri-trophic food chain ecological systems

S Ramasamy, D Banjerdpongchai, P Park - Engineering Journal, 2023 - engj.org
The existence of chaos in ecological models is quite obvious due to the presence of
nonlinear terms. Controlling chaotic phenomena in ecological systems remains a difficult …

Parasite-mediated predation determines infection in a complex predator–prey–parasite system

AC Hijar Islas, A Milne… - Proceedings of the …, 2024 - royalsocietypublishing.org
The interplay of host–parasite and predator–prey interactions is critical in ecological
dynamics because both predators and parasites can regulate communities. But what is the …

Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting

D Adak, N Bairagi, R Hakl - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
In this paper we analyze a delay-induced predator–prey–parasite model with prey
harvesting, where the predator–prey interaction is represented by Leslie–Gower type model …

Ecoepidemiology: a more comprehensive view of population interactions

E Venturino - Mathematical Modelling of Natural Phenomena, 2016 - mmnp-journal.org
Models proposed for the description of population interactions with pathogenic agents are
presented. We review some basic quadratic-interactions models, then move to more …

Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes

S Garai, M Hossain, S Karmakar, N Pal - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The environmental characteristics of a biological system are imbibed in some particular
parameters of that system. Significant changes in any system parameter exert influence on …

Bistability in a tri-trophic food chain model: Basin stability perspective

D Pattanayak, A Mishra, SK Dana… - … Interdisciplinary Journal of …, 2021 - pubs.aip.org
The most important issue of concern in a food chain is the stability of species and their
nature of persistence against system parameter changes. For understanding the stable …

Complex dynamics in an eco-epidemiological model

AM Bate, FM Hilker - Bulletin of mathematical biology, 2013 - Springer
The presence of infectious diseases can dramatically change the dynamics of ecological
systems. By studying an SI-type disease in the predator population of a Rosenzweig …