Predator-taxis creates spatial pattern of a predator-prey model

M Chen, Q Zheng - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we investigate the spatial pattern formation to a predator-prey model with the
predator-taxis under the homogeneous zero-flux boundary conditions. Firstly, we employ the …

Control factors for the equilibrium composition of microbial communities in open systems: Theory and experiments

A Degermendzhi, A Abakumov - Mathematics, 2023 - mdpi.com
The present paper is a summary of the authors' theoretical and experimental research
dealing with the patterns of stable equilibrium coexistence of microbial populations in flow …

Steady state bifurcation of a population model with chemotaxis

M Chen, Q Zheng - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
In this paper, we are concerned with the pattern dynamics of a population model with
chemotaxis. The existence of the solution and the global stability of the coexistence …

Pattern formation in a predator-prey model with Allee effect and hyperbolic mortality on networked and non-networked environments

Y Ye, J Zhou - arXiv preprint arXiv:2306.11818, 2023 - arxiv.org
With the development of network science, the Turing pattern has been proven to be formed
in discrete media such as complex networks, opening up the possibility of exploring it as a …

Stability and patterns of the nutrient-microorganism model with chemotaxis

M Chen, R Wu - Zeitschrift für Naturforschung A, 2023 - degruyter.com
In this paper, the stability and the bifurcations of the nutrient-microorganism model with
chemotaxis are analyzed, subject to no-flux boundary conditions. By choosing the …

Stability and Bifurcation Analysis of the Nutrient-Microorganism Model.

R Wu, X Qin - Journal of Nonlinear Modeling & Analysis, 2024 - search.ebscohost.com
Stability analysis and bifurcation of the nutrient-microorganism model are presented in this
paper. It is found that the model could experience the changes of the equilibrium points and …