Impact of fear effect on the growth of prey in a predator-prey interaction model

K Sarkar, S Khajanchi - Ecological complexity, 2020 - Elsevier
Several field data and experiments on a terrestrial vertebrates exhibited that the fear of
predators would cause a substantial variability of prey demography. Fear for predator …

Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition

Z Wang, Y **e, J Lu, Y Li - Applied Mathematics and Computation, 2019 - Elsevier
The present paper considers a delayed generalized fractional-order prey-predator model
with interspecific competition. The existence of the nontrivial positive equilibrium is …

Mathematical and numerical analysis of a three‐species predator‐prey model with herd behavior and time fractional‐order derivative

B Ghanbari, S Djilali - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we investigate with a time fractional‐order derivative in a three‐species
predator‐prey model with the presence of prey social behavior. A new approximation for …

A fractional-order epidemic model with time-delay and nonlinear incidence rate

FA Rihan, QM Al-Mdallal, HJ AlSakaji… - Chaos, Solitons & …, 2019 - Elsevier
In this paper, we provide an epidemic SIR model with long-range temporal memory. The
model is governed by delay differential equations with fractional-order. We assume that the …

Dynamic analysis of a delayed fractional-order SIR model with saturated incidence and treatment functions

X Wang, Z Wang, X Huang, Y Li - International Journal of …, 2018 - World Scientific
In this paper, a delayed fractional-order SIR (susceptible, infected, and removed) epidemic
model with saturated incidence and treatment functions is presented. Firstly, the non …

Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders

X Wang, Z Wang, J **a - Journal of the Franklin Institute, 2019 - Elsevier
In this paper, a delayed fractional eco-epidemiological model with incommensurate orders is
proposed, and a control strategy of this model is discussed. Firstly, for the system with no …

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 …

[HTML][HTML] Stability and bifurcation analysis for a fractional prey–predator scavenger model

J Alidousti - Applied Mathematical Modelling, 2020 - Elsevier
In this study, we consider a fractional prey–predator scavenger model as well as harvesting
by a predator and scavenger. We prove the positivity and boundedness of the solutions in …

A review of predator–prey systems with dormancy of predators

T Wen, Q Gao, T Kalmár-Nagy, Y Deng, KH Cheong - Nonlinear Dynamics, 2022 - Springer
The predator–prey system has received much attention in the field of ecology and evolution.
The interaction and competition between populations in nature can be described by the …

Memory effect on Bazykin's prey-predator model: Stability and bifurcation analysis

U Ghosh, S Pal, M Banerjee - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper deals with a system of two fractional order differential equations for prey-predator
interaction with intra-specific competition among predators. The fractional order differential …