Numerical solution of predator-prey model with Beddington-DeAngelis functional response and fractional derivatives with Mittag-Leffler kernel

B Ghanbari, D Kumar - Chaos: An Interdisciplinary Journal of Nonlinear …, 2019 - pubs.aip.org
One of the major applications of the nonlinear system of differential equations in
biomathematics is to describe the predator–prey problem. In this framework, the fractional …

Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative

KM Owolabi - The European Physical Journal Plus, 2018 - Springer
In this paper, we model an ecological system consisting of a predator and two preys with the
newly derived two-step fractional Adams-Bashforth method via the Atangana-Baleanu …

Dynamic behavior of a Beddington–DeAngelis type stage structured predator–prey model

S Khajanchi - Applied Mathematics and Computation, 2014 - Elsevier
This paper deals with a robust stage structured predator–prey model with Beddington–
DeAngelis-type functional response. The proposed mathematical model consists of a system …

Modeling Dynamics of Prey‐Predator Fishery Model with Harvesting: A Bioeconomic Model

C Raymond, A Hugo, M Kung'aro - Journal of Applied …, 2019 - Wiley Online Library
A mathematical model is proposed and analysed to study the dynamics of two‐prey one
predator system of fishery model with Holling type II function response. The effect of …

Dynamical analysis of discrete-time two-predators one-prey Lotka–Volterra model

A Khaliq, TF Ibrahim, AM Alotaibi, M Shoaib… - Mathematics, 2022 - mdpi.com
This research manifesto has a comprehensive discussion of the global dynamics of an
achievable discrete-time two predators and one prey Lotka–Volterra model in three …

Strong stability with impact of maturation delay and diffusion on a toxin producing phytoplankton–zooplankton model

SN Raw, SR Sahu - Mathematics and Computers in Simulation, 2023 - Elsevier
Plankton species is backbone for any healthy aquatic system, but a global increment in toxin
phytoplankton blooms is a major threat to aquatic systems. As toxic phytoplankton …

The Dynamical Analysis of a Prey‐Predator Model with a Refuge‐Stage Structure Prey Population

RK Naji, SJ Majeed - International Journal of Differential …, 2016 - Wiley Online Library
We proposed and analyzed a mathematical model dealing with two species of prey‐
predator system. It is assumed that the prey is a stage structure population consisting of two …

Prey, predator and super-predator model with disease in the super-predator

W Mbava, JYT Mugisha, JW Gonsalves - Applied Mathematics and …, 2017 - Elsevier
The dynamics of a predator–prey model with disease in super-predator are investigated.
The predator is under immense competition from the super-predator and is also facing …

[HTML][HTML] Effects of harvesting and predator interference in a model of two-predators competing for a single prey

B Mukhopadhyay, R Bhattacharyya - Applied Mathematical Modelling, 2016 - Elsevier
In the present paper we formulate a mathematical model of two predators living on a single
biotic prey. The two predators interfere directly with each other. The predation function for …

Persistence and stability of a two prey one predator system

TK Kar, A Batabyal - International journal of engineering, science and …, 2010 - ajol.info
The purpose of this work is to offer some mathematical analysis of the dynamics of a two
prey one predator system in the presence of a time delay due to gestation. We derived …