4.5 Article

Stability and Bifurcation Analysis of a Beddington-DeAngelis Prey-Predator Model with Fear Effect, Prey Refuge and Harvesting

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Ecology

A nonautonomous model for the effects of refuge and additional food on the dynamics of phytoplankton-zooplankton system

Arindam Mandal et al.

Summary: This paper proposes a mathematical model for the interacting dynamics of phytoplankton-zooplankton, studying the strategies of phytoplankton to avoid over predation by zooplankton through refuge and toxin release, as well as the impact of providing additional food to support the survival of zooplankton population. Prey refuge and additional food have significant effects on the stability of the system.

ECOLOGICAL COMPLEXITY (2021)

Article Mathematics, Applied

Dynamics of a delayed predator-prey system with fear effect, herd behavior and disease in the susceptible prey

San-Xing Wu et al.

Summary: In this article, a delayed predator-prey system with fear effect, disease, and herd behavior in prey incorporating refuge is established. The stability and bifurcation of the system are discussed by analyzing characteristic equations and constructing a suitable Lyapunov function. Additionally, the impact of prey refuge, fear effect, and capture rate on the system is also considered in the analysis.

AIMS MATHEMATICS (2021)

Article Mathematics, Applied

Impact of the fear effect in a prey-predator model incorporating a prey refuge

Huisen Zhang et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Article Mathematical & Computational Biology

Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system

Ranjit Kumar Upadhyay et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2019)

Article Engineering, Multidisciplinary

Population dynamics with multiple Allee effects induced by fear factors - A mathematical study on prey-predator interactions

Sourav Kumar Sasmal

APPLIED MATHEMATICAL MODELLING (2018)

Article Mathematics, Applied

Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting

Dongpo Hu et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2017)

Article Mathematics, Applied

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

D. Pal et al.

APPLIED MATHEMATICS AND COMPUTATION (2017)

Article Mathematics, Interdisciplinary Applications

Effects of toxicants on Phytoplankton-Zooplankton-Fish dynamics and harvesting

Prabir Panja et al.

CHAOS SOLITONS & FRACTALS (2017)

Article Biology

Modeling the Fear Effect in Predator-Prey Interactions with Adaptive Avoidance of Predators

Xiaoying Wang et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2017)

Article Mathematics, Applied

Stability and turing instability in a diffusive predator-prey system with Beddington-DeAngelis functional response

Xiang-Ping Yan et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2014)

Article Mathematics, Applied

The Effect of Prey Refuges on a Three Species Food Chain Model

Debasis Mukherjee

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (2014)

Article Biology

The effect of prey refuge in a patchy predator-prey system

Zhihui Ma et al.

MATHEMATICAL BIOSCIENCES (2013)

Article Biology

Analysis of a competitive prey-predator system with a prey refuge

Sahabuddin Sarwardi et al.

BIOSYSTEMS (2012)

Article Mathematics, Applied

Coexistence states for a diffusive one-prey and two-predators model with B-D functional response

Guohong Zhang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)

Article Multidisciplinary Sciences

Perceived Predation Risk Reduces the Number of Offspring Songbirds Produce per Year

Liana Y. Zanette et al.

SCIENCE (2011)

Article Mathematics, Applied

Stability analysis of a prey-predator model with holling type III response function incorporating a prey refuge

Yunjin Huang et al.

APPLIED MATHEMATICS AND COMPUTATION (2006)