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 …

Dynamical analysis of a prey–predator model with Beddington–DeAngelis type function response incorporating a prey refuge

JP Tripathi, S Abbas, M Thakur - Nonlinear Dynamics, 2015 - Springer
This paper discusses a prey–predator model with reserved area. The feeding rate of
consumers (predators) per consumer (ie, functional response) is considered to be …

Harmful algal blooms significantly reduce the resource use efficiency in a coastal plankton community

ZY Chai, H Wang, Y Deng, Z Hu, YZ Tang - Science of the Total …, 2020 - Elsevier
Harmful algal blooms (HABs) have been investigated for their catastrophic effects on public
health and aquaculture intensively, but the research about HABs effects on the diversity …

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 …

Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls

JP Tripathi, S Abbas - Nonlinear Dynamics, 2016 - Springer
This paper discusses autonomous and nonautonomous epidemic models with nonlinear
incidence rate of saturated mass action and feedback controls. The global asymptotic …

Local and global stability analysis of a two prey one predator model with help

JP Tripathi, S Abbas, M Thakur - Communications in Nonlinear Science …, 2014 - Elsevier
In this paper we propose and study a three dimensional continuous time dynamical system
modelling a three team consists of two preys and one predator with the assumption that …

Selective harvesting of two competing fish species in the presence of toxicity with time delay

D Pal, GP Samanta, GS Mahapatra - Applied Mathematics and …, 2017 - Elsevier
In this paper, we have considered a two competing fish species with the delay due to
gestation, each of which obeys the law of logistic growth and releases a substance toxic to …

Existence of periodic solutions for a class of dynamic equations with multiple time varying delays on time scales

D Agrawal, S Abbas - Qualitative Theory of Dynamical Systems, 2024 - Springer
This manuscript considers general coupled dynamic equations on time scales with multiple
and time-varying delays. The considered equations describe several continuous and …

Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations

L Duan, L Huang, Z Guo - Nonlinear dynamics, 2014 - Springer
In this paper, the stability and almost periodicity for delayed high-order Hopfield neural
networks with discontinuous activations are investigated. Some new criteria ensuring the …

A predator–prey model with Crowley–Martin functional response: A nonautonomous study

JP Tripathi, S Bugalia, V Tiwari… - Natural Resource …, 2020 - Wiley Online Library
We investigate a nonautonomous predator–prey model system with a Crowley–Martin
functional response. We perform rigorous mathematical analysis and obtain conditions for …