Biological control via “ecological” damping: an approach that attenuates non-target effects

RD Parshad, E Quansah, K Black… - Mathematical …, 2016 - Elsevier
In this work we develop and analyze a mathematical model of biological control to prevent or
attenuate the explosive increase of an invasive species population, that functions as a top …

Dynamical behavior of two predators competing over a single prey

S Gakkhar, B Singh, RK Naji - Biosystems, 2007 - Elsevier
Dynamical behavior of a food web comprising two predators competing over a single prey
has been investigated. The analysis of the food web model shows that the persistence is not …

A Beddington–DeAngelis type one-predator two-prey competitive system with help

JP Tripathi, D Jana, V Tiwari - Nonlinear Dynamics, 2018 - Springer
In this paper, we present and study a two competing prey and one predator system where
during predation both the teams of prey help each other and the rate of predation on both …

Dynamical behaviour of a two-prey and one-predator system with help and time delay

S Mondal, GP Samanta - Energy, Ecology and Environment, 2020 - Springer
In this paper, we have investigated a three-species food web model consisting of two preys
and one predator with the assumption that in the presence of predator both teams of prey …

A remark on “Study of a Leslie–Gower-type tritrophic population model”[Chaos, Solitons and Fractals 14 (2002) 1275–1293]

RD Parshad, N Kumari, S Kouachi - Chaos, Solitons & Fractals, 2015 - Elsevier
Abstract In Aziz-Alaoui (2002) a three species ODE model, based on a modified Leslie–
Gower scheme is investigated. It is shown that under certain restrictions on the parameter …

Weak average persistence and extinction of a predator–prey system in a polluted environment with impulsive toxicant input

X Yang, Z Jin, Y Xue - Chaos, Solitons & Fractals, 2007 - Elsevier
In this paper, we have investigated a predator–prey system in a polluted environment with
impulsive toxicant input at fixed moments. We have obtained two thresholds on the …

Dynamics of modified Leslie–Gower-type prey–predator model with seasonally varying parameters

S Gakkhar, B Singh - Chaos, Solitons & Fractals, 2006 - Elsevier
A modified Leslie–Gower-type prey–predator model composed of a logistic prey with
Holling's type II functional response is studied. The axial point (1, 0) is found to be globally …

Hopf bifurcations, Lyapunov exponents and control of chaos for a class of centrifugal flywheel governor system

JG Zhang, XF Li, YD Chu, JN Yu, YX Chang - Chaos, Solitons & Fractals, 2009 - Elsevier
In this paper, complex dynamical behavior of a class of centrifugal flywheel governor system
is studied. These systems have a rich variety of nonlinear behavior, which are investigated …

Predator–prey dynamical behavior and stability analysis with square root functional response

D Pal, P Santra, GS Mahapatra - International Journal of Applied and …, 2017 - Springer
One of the main characteristics of the ecological systems is the relationship between species
and their living environment. For that reason modeling of predator–prey interactions are one …

A remark on “Dynamical behavior of a fractional three-species food chain model”[Nonlinear Dynamics, 95, February 2019]

R Aouafi, A Zaidi, S Kouachi, RD Parshad - Nonlinear Dynamics, 2023 - Springer
In the current manuscript, we comment on (Alidousti J and Mostafavi 2019 in Nonlinear Dyn
95: 1841), where a three-species fractional differential equation food chain model is …