Deterministic limit of a density-dependent population model with triangle type nonlocal cross-diffusion

被引：0

作者：

Watanabe, Itsuki ^{[1
]}

机构：

[1] Oita Univ, Fac Sci & Technol, 700 Dannoharu, Oita, Oita, Japan

来源：

STOCHASTICS AND DYNAMICS | 2025年 / 25卷 / 01期

关键词：

Two types particle system; nonlocal diffusion; cross-diffusion; Markov chain approximation; CHEMICAL-REACTIONS; EQUATIONS; THEOREMS; SYSTEMS;

D O I：

10.1142/S0219493725500054

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The deterministic limit of a stochastic model of triangle type nonlocal cross-diffusion is considered. The stochastic model is given by a system with two types of particles whose transition rates depend on their densities. In this paper, we reveal that its deterministic limit is governed by some nonlocal cross-diffusion equation, and show the existence of a solution to this equation by Markov chain approximation method.

引用

页数：26

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