On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative

B Ghanbari - Advances in Difference Equations, 2020 - Springer
Mathematical modeling has always been one of the most potent tools in predicting the
behavior of dynamic systems in biology. In this regard, we aim to study a three-species prey …

Existence of limit cycles in a three level trophic chain with Lotka–Volterra and Holling type II functional responses

V Castellanos, RE Chan-López - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper we analyze a three level trophic chain model, considering a logistic growth for
the lowest trophic level, a Lotka–Volterra and Holling type II functional responses for …

Dynamic behavior of a fractional order prey-predator model with group defense

J Alidousti, E Ghafari - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we consider a fractional order prey predator model with a prey and two
predator species with the group defense capability. In this model, we use the Holling-IV …

Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response

V Kumar, N Kumari - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, a tritrophic food chain model has been proposed by incorporating Ivlev-like
nonmonotonic functional response, where prey is equipped with defense ability. We have …

Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain

D Jana, R Agrawal, RK Upadhyay - Chaos, Solitons & Fractals, 2014 - Elsevier
An attempt has been made to understand the role of top predator interference and gestation
delay on the dynamics of a three species food chain model involving intermediate and top …

Study of a Leslie–Gower predator-prey model with prey defense and mutual interference of predators

P Mishra, SN Raw, B Tiwari - Chaos, Solitons & Fractals, 2019 - Elsevier
Prey can defend themselves against predators in many different ways. Some prey can even
be dangerous to predators. Such prey posses morphological structures or behavioral …

Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study

SN Raw, P Mishra, R Kumar, S Thakur - Chaos, Solitons & Fractals, 2017 - Elsevier
Defense mechanisms are very important to all animal life. Predators in every biome must eat
to survive. With predators being top on the food chain and always on the lookout for a meal …

A type IV functional response with different shapes in a predator–prey model

MC Köhnke, I Siekmann, H Seno, H Malchow - Journal of Theoretical …, 2020 - Elsevier
Group defense is a phenomenon that occurs in many predator–prey systems. Different
functional responses with substantially different properties representing such a mechanism …

Dynamical complexities in a predator-prey system involving teams of two prey and one predator

P Mishra, SN Raw - Journal of Applied Mathematics and computing, 2019 - Springer
Empirical studies have shown that animals often focus on short-term benefits under
conditions of predation risk, which increases the likelihood that they will co-operate with …

The fear effect on a food chain prey-predator model incorporating a prey refuge and harvesting

ZK Alabacy, AA Majeed - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
In this paper, we investigate the impact of fear on a food chain mathematical model with prey
refuge and harvesting. The prey species reproduces by to the law of logistic growth. The …