Results 81 to 90 of about 168,933 (177)

Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting

Advances in Difference Equations, 2019
In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum.
Wenjing Gao, Yihui Tong, Lihua Zhai, Ruizhi Yang, Leiyu Tang   +4 more
doaj   +1 more source

Dynamics analysis of a predator-prey model incorporating fear effect in prey species

AIMS Mathematics
Fear effects, as spontaneous inherent phenomena among species, ubiquitously manifest in natural ecosystems. In this study, we investigate a Leslie-Gower type predator-prey system incorporating a Holling Type Ⅲ functional response and fear effects under ...
Xiaoyan Zhao, Liangru Yu, Xue-Zhi Li
doaj   +1 more source

Mean Field Analysis of Stochastic Neural Network Models with Synaptic Depression [PDF]

, 2010
We investigated the effects of synaptic depression on the macroscopic behavior of stochastic neural networks. Dynamical mean field equations were derived for such networks by taking the average of two stochastic variables: a firing state variable and a ...
Igarashi, Yasuhiko, Oizumi, Masafumi, Okada, Masato   +2 more
core  

A simple scalar coupled map lattice model for excitable media [PDF]

, 2010
A simple scalar coupled map lattice model for excitable media is intensively analysed in this paper. This model is used to explain the excitability of excitable media, and a Hopf-like bifurcation is employed to study the different spatio-temporal ...
Billings, S.A., Coca, D., Guo, Y., Zhao, Y.   +3 more
core  

A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay

European Journal of Applied Mathematics
This paper studies the spatio-temporal dynamics of a diffusive plant-sulphide model with toxicity delay. More specifically, the effects of discrete delay and distributed delay on the dynamics are explored, respectively.
Yonghui Xia, Jianglong Xiao, Jianshe Yu
doaj   +1 more source

Bifurcation analysis of a predator-prey system with self- and cross-diffusion and constant harvesting rate

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Hunki Baek
doaj   +1 more source

Dynamics and spatio-temporal patterns in a prey–predator system with aposematic prey

Mathematical Biosciences and Engineering, 2019
We analyze the impact of aposematic time and searching efficiency of prey on the temporal and spatio-temporal dynamics of a diffusive prey-predator system.
Sourav Kumar Sasmal, Jeet Banerjee , Yasuhiro Takeuchi   +2 more
doaj   +1 more source

Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model

AIP Advances, 2012
For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
doaj   +1 more source

Turing-Hopf bifurcation of a class of modified Leslie-Gower model with diffusion

, 2018
In this paper, the dynamics of a class of modified Leslie-Gower model with diffusion is considered. The stability of positive equilibrium and the existence of Turing-Hopf bifurcation are shown by analyzing the distribution of eigenvalues. The normal form
Xiaofeng Xu, Junjie Wei
semanticscholar   +1 more source

Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Discrete Dynamics in Nature and Society, 2013
The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
doaj   +1 more source