Delay induced multiple stability switch and chaos in a predator–prey model with fear effect

P Panday, S Samanta, N Pal… - … and Computers in …, 2020 - Elsevier
We propose a delayed predator–prey model with fear in the prey population. We consider
that the growth rate of the prey population is suppressed due to the fear of predators. It is …

Dynamical analysis of a delayed food chain model with additive Allee effect

S Vinoth, R Sivasamy, K Sathiyanathan… - Advances in Difference …, 2021 - Springer
Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate,
and a top predator is investigated in this paper. The additive Allee effect is introduced in the …

Stability in distribution of a three-species stochastic cascade predator-prey system with time delays

M Liu, M Fan - IMA Journal of Applied Mathematics, 2017 - academic.oup.com
Stability in distribution of solutions (SDS) is important but challenging in stochastic
population models with delays since the traditional methods are difficult to apply. This article …

[HTML][HTML] Rich dynamics in a delayed HTLV-I infection model: Stability switch, multiple stable cycles, and torus

X Pan, Y Chen, H Shu - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this paper, we investigate the impact of time delay in CTL immune response on a HTLV-I
infection model. By defining basic reproduction number for viral infection R 0 and basic …

Appearance of chaos and bi-stability in a fear induced delayed predator–prey system: A mathematical modeling study

SR Sahu, SN Raw - Chaos, Solitons & Fractals, 2023 - Elsevier
Since many years ago, it has been only a priori assumption that the diversity of ecological
demography is largely influenced by the direct interactions of predator and prey species. But …

Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey

D Bai, Y Kang, S Ruan, L Wang - Nonlinear analysis: real world …, 2021 - Elsevier
Since intraguild predation (IGP) is a ubiquitous and important community module in nature
and Allee effect has strong impact on population dynamics, in this paper we propose a three …

Nonlinear dynamics and pattern formation in a space–time discrete diffusive intraguild predation model

R Han, SM Salman - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, the spatiotemporal dynamics and pattern formation of a space–time discrete
intraguild predation model with self-diffusion are investigated. The model is obtained by …

Dynamics of a spatially coupled model with delayed prey dispersal

B Barman, B Ghosh - International Journal of Modelling and …, 2022 - Taylor & Francis
Dispersal of species from one region to another one is a common occurrence in ecology.
Several studies have been conducted on predator–prey interactions subjected to population …

Cooperation delay induced chaos in an ecological system

S Pal, M Hossain, P Panday, NC Pati, N Pal… - … Journal of Nonlinear …, 2020 - pubs.aip.org
In the present paper, we investigate the impact of time delay during cooperative hunting in a
predator–prey model. We consider that cooperative predators do not aggregate in a group …

Explicit impacts of harvesting in delayed predator-prey models

B Barman, B Ghosh - Chaos, Solitons & Fractals, 2019 - Elsevier
Modeling population dynamics using delay differential equations and exploring the impacts
of harvesting in predator-prey systems are among few of the thrust areas of research in …