Role of fear in a predator-prey system with ratio-dependent functional response in deterministic and stochastic environment

J Roy, D Barman, S Alam - Biosystems, 2020 - Elsevier
In this article, we propose and analyse a predator-prey model where apart from direct
predation the prey population is affected by the fear induced from predators. The …

A mathematical model on fractional Lotka–Volterra equations

S Das, PK Gupta - Journal of theoretical biology, 2011 - Elsevier
The article presents the solutions of Lotka–Volterra equations of fractional-order time
derivatives with the help of analytical method of nonlinear problem called the homotopy …

A ratio-dependent food chain model and its applications to biological control

SB Hsu, TW Hwang, Y Kuang - Mathematical biosciences, 2003 - Elsevier
While biological controls have been successfully and frequently implemented by nature and
human, plausible mathematical models are yet to be found to explain the often observed …

Consequences of refuge and diffusion in a spatiotemporal predator–prey model

R Han, LN Guin, B Dai - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
In this investigation, we offer and examine a predator–prey interacting model with prey
refuge in proportion to both the species and Beddington–DeAngelis functional response. We …

Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting

LN Guin, S Pal, S Chakravarty… - International Journal of …, 2021 - World Scientific
We are concerned with a reaction-diffusion predator–prey model under homogeneous
Neumann boundary condition incorporating prey refuge (proportion of both the species) and …

Qualitative analysis of a ratio-dependent predator–prey system with diffusion

PYH Pang, M Wang - Proceedings of the Royal Society of Edinburgh …, 2003 - cambridge.org
Ratio-dependent predator–prey models are favoured by many animal ecologists recently as
they better describe predator–prey interactions where predation involves a searching …

Ratio-dependent predator-prey models of interacting populations

M Haque - Bulletin of mathematical biology, 2009 - Springer
Ratio-dependent predator-prey models are increasingly favored by both the theoretical and
experimental ecologists as a more suitable alternative to describe predator-prey interactions …

[HTML][HTML] Qualitative analysis of a stochastic ratio-dependent predator–prey system

C Ji, D Jiang, X Li - Journal of Computational and Applied Mathematics, 2011 - Elsevier
A stochastic ratio-dependent predator–prey model is investigated in this paper. By the
comparison theorem of stochastic equations and Itô's formula, we obtain the global …

Stationary distribution of a stochastic ratio-dependent predator-prey system with regime-switching

Z Wang, M Deng, M Liu - Chaos, Solitons & Fractals, 2021 - Elsevier
This article explores a stochastic ratio-dependent predator-prey model with regime-
switching. We testify that the model admits a unique stationary distribution, and demonstrate …

A detailed study of the Beddington–DeAngelis predator–prey model

M Haque - Mathematical Biosciences, 2011 - Elsevier
The present investigation accounts for the influence of intra-specific competition among
predators in the original Beddington–DeAngelis predator–prey model. We offer a detailed …