Predator–prey models: A review of some recent advances

É Diz-Pita, MV Otero-Espinar - Mathematics, 2021 - mdpi.com
In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

Dynamical behavior of two predators–one prey model with generalized functional response and time-fractional derivative

S Djilali, B Ghanbari - Advances in difference Equations, 2021 - Springer
The behavior of any complex dynamic system is a natural result of the interaction between
the components of that system. Important examples of these systems are biological models …

Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators

FA Rihan, C Rajivganthi - Chaos, Solitons & Fractals, 2020 - Elsevier
In this work, we study the dynamics of a fractional-order delay differential model of prey-
predator system with Holling-type III and predator population is infected by an infectious …

Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting

B Mondal, U Ghosh, MS Rahman, P Saha… - … and Computers in …, 2022 - Elsevier
Study of a food chain model under uncertainty is quite difficult. Because, in an uncertain food
chain model, the biological parameters can't be determined accurately. The aim of this work …

On detecting chaos in a prey-predator model with prey's counter-attack on juvenile predators

B Ghanbari - Chaos, Solitons & Fractals, 2021 - Elsevier
Chaotic nonlinear systems are systems whose main feature is extreme sensitivity to noise in
the problem or the corresponding initial conditions. In this paper, we examine the chaotic …

[PDF][PDF] Influence of fear effect on a Holling type III prey-predator system with the prey refuge

B Xie, N Zhang - AIMS Mathematics, 2022 - aimspress.com
The aim of the paper is to study the impact of anti-predator behavior caused by dread of
predator species in a prey predator system with Holling III type functional response and prey …

Rich Dynamics of a Predator‐Prey System with Different Kinds of Functional Responses

K Sarkar, S Khajanchi, P Chandra Mali, JJ Nieto - Complexity, 2020 - Wiley Online Library
In this study, we investigate a mathematical model that describes the interactive dynamics of
a predator‐prey system with different kinds of response function. The positivity …

[PDF][PDF] The hunting cooperation of a predator under two prey's competition and fear-effect in the prey-predator fractional-order model

A Yousef, AA Thirthar, AL Alaoui, P Panja… - AIMS Math, 2022 - researchgate.net
This paper investigates a fractional-order mathematical model of predator-prey interaction in
the ecology considering the fear of the prey, which is generated in addition by competition of …

A Rosenzweig–MacArthur model with continuous threshold harvesting in predator involving fractional derivatives with power law and mittag–leffler kernel

HS Panigoro, A Suryanto, WM Kusumawinahyu, I Darti - Axioms, 2020 - mdpi.com
The harvesting management is developed to protect the biological resources from over-
exploitation such as harvesting and trapping. In this article, we consider a predator–prey …

Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks

Y Xie, Z Wang, J Lu, Y Li - Applied Mathematics and Computation, 2020 - Elsevier
In this research, a new SIS (susceptible-infected-susceptible) epidemic model is proposed.
Unlike most other models, our model considers the infection rate of multiple edges …