Results 1 to 10 of about 329,967 (141)

Stability of Weak Solutions to Parabolic Problems with Nonstandard Growth and Cross–Diffusion

open access: yesAxioms, 2021
We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term.
André H. Erhardt
doaj   +1 more source

The Effects of the Susceptible and Infected Cross-Diffusion Terms on Pattern Formations in an SI Model

open access: yesMathematics, 2023
In this paper, we discuss the pattern dynamics of an SI epidemic model caused by spatial dependency, which is represented by self- and cross-diffusion terms.
Anita Triska   +2 more
doaj   +1 more source

Intensification of thermal stratification on dissipative chemically heating fluid with cross-diffusion and magnetic field over a wedge

open access: yesOpen Physics, 2021
This paper aims to examine the heat and mass characteristics for thermally stratified chemically heated, dissipative flow under the cross-diffusion and imposed Lorentz forces. A self-similar model is obtained employing suitable similarity transformations.
Adnan   +5 more
doaj   +1 more source

Science mapping on the cross-diffusion predator prey model: Scientometrics analysis [PDF]

open access: yesریاضی و جامعه, 2023
This study is a descriptive study with a scientometrics approach and the method of co-word analysis which analyzes scientific outputs in the field of the cross-diffusion predator prey model on the Web of Science from 1997 to September 11, 2022.
Marzieh Farshid, Razieh Farshid
doaj   +1 more source

Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model

open access: yesOpen 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
doaj   +1 more source

A Multispecies Cross-Diffusion Model for Territorial Development

open access: yesMathematics, 2021
We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for K groups instead of two groups.
Abdulaziz Alsenafi   +1 more
doaj   +1 more source

Turing Instability and Spatiotemporal Pattern Formation Induced by Nonlinear Reaction Cross-Diffusion in a Predator–Prey System with Allee Effect

open access: yesMathematics, 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
doaj   +1 more source

Soliton and half-soliton interaction of solitary waves in excitable media with non-linear cross-diffusion [PDF]

open access: yesКомпьютерные 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
doaj   +1 more source

Cross-Diffusion-Induced Turing Instability in a Two-Prey One-Predator System

open access: yesMathematics, 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
doaj   +1 more source

Erlang-Distributed SEIR Epidemic Models with Cross-Diffusion

open access: yesMathematics, 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
doaj   +1 more source

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