Global analysis of a delayed density dependent predator–prey model with Crowley–Martin functional response

JP Tripathi, S Tyagi, S Abbas - Communications in Nonlinear Science and …, 2016 - Elsevier
In this paper, we present and study a two-dimensional continuous time dynamical system
modelling a predator–prey with discrete delay incorporating Crowley–Martin functional …

Dynamics of the density dependent predator–prey system with Beddington–DeAngelis functional response

H Li, Y Takeuchi - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
Two models of a density dependent predator–prey system with Beddington–DeAngelis
functional response are systematically considered. One includes the time delay in the …

A density dependent delayed predator–prey model with Beddington–DeAngelis type function response incorporating a prey refuge

JP Tripathi, S Abbas, M Thakur - Communications in Nonlinear Science …, 2015 - Elsevier
This paper describes a predator–prey model incorporating a prey refuge. The feeding rate of
consumers (predators) per consumer (ie functional response) is considered to be of …

A matter of maturity: To delay or not to delay? Continuous‐time compartmental models of structured populations in the literature 2000–2016

SL Robertson, SM Henson, T Robertson… - Natural Resource …, 2018 - Wiley Online Library
Structured compartmental models in mathematical biology track age classes, stage classes,
or size classes of a population. Structured modeling becomes important when mechanistic …

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 …

Stability and Hopf bifurcation in a predator–prey model with the cost of anti-predator behaviors

T Qiao, Y Cai, S Fu, W Wang - International Journal of Bifurcation …, 2019 - World Scientific
In this paper, we investigate the influence of anti-predator behavior in prey due to the fear of
predators with a Beddington–DeAngelis prey–predator model analytically and numerically …

Impacts of time delay in a bistable predator–prey system

NC Pati, B Ghosh - Nonlinear Dynamics, 2023 - Springer
The effects of time delay on dynamics of a predator–prey system with multiple coexisting
equilibria are explored. The system exhibits focus-node and cycle-node bistability in the …

Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays

A Gupta, A Kumar, B Dubey - International Journal of …, 2022 - World Scientific
In this paper, we analyze a system of delay differential equations incorporating prey's refuge,
fear, fear-response delay, extra food for predators and their gestation lag. First, we examined …

Application of inequalities technique to dynamics analysis of a stochastic eco-epidemiology model

T Feng, X Meng, L Liu, S Gao - Journal of Inequalities and Applications, 2016 - Springer
This paper formulates an infected predator-prey model with Beddington-DeAngelis
functional response from a classical deterministic framework to a stochastic differential …

Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect

JP Tripathi, S Bugalia, D Jana, N Gupta… - … Methods in the …, 2022 - Wiley Online Library
The anti‐predator decision making may lower down/change the food/energy intake of prey
which naturally translate into a decrease in their reproductive output. More importantly …