Results 11 to 20 of about 3,785,943 (309)
Cross-Diffusion Driven Instability in a Predator-Prey System with Cross-Diffusion [PDF]
Acta Applicandae Mathematicae, 2014 15 pages, 5 ...
Tulumello, E. +2 more
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 more
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Soliton and half-soliton interaction of solitary waves in excitable media with non-linear cross-diffusion [PDF]
Компьютерные исследования и моделирование, 2009 We have studied properties of non-linear waves in a mathematical model of a predator - prey system with taxis. We demonstrate that, for systems with negative and positive taxis there typically exists a large region in the parameter space, where the waves
M. A. Tsyganov, V. N. Biktashev
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Mathematics, 2022 The Allee effect is widespread among endangered plants and animals in ecosystems, suggesting that a minimum population density or size is necessary for population survival.
Yangyang Shao, Yan Meng, Xinyue Xu
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Cross-Diffusion-Induced Turing Instability in a Two-Prey One-Predator System
Mathematics, 2023 This paper focuses on a strongly coupled specific ecological system consisting of two prey species and one predator. We explore a unique positive equilibrium solution of the system that is globally asymptotically stable.
Ying Yu, Yahui Chen, You Zhou
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Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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Erlang-Distributed SEIR Epidemic Models with Cross-Diffusion
Mathematics, 2023 We explore the effects of cross-diffusion dynamics in epidemiological models. Using reaction–diffusion models of infectious disease, we explicitly consider situations where an individual in a category will move according to the concentration of ...
Victoria Chebotaeva, Paula A. Vasquez
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 We focus on a system of two competing species with cross-diffusion and self-diffusion. By constructing an appropriate auxiliary function, we derive the sufficient conditions such that there are no coexisting steady-state solutions to the model.
Ningning Zhu
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Stationary patterns of a ratio-dependent predator-prey system with cross-diffusion
Mathematical Modelling and Analysis, 2011 This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary condition. We establish the existence and non-existence of non-constant positive steady states (patterns). In
Yu-Xia Wang, Wan-Tong Li, Hong-Bo Shi
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Dynamics of a Leslie-Gower predator-prey system with cross-diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
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