JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (7): 45-57.doi: 10.6040/j.issn.1671-9352.0.2024.339

• Mathematical Biology • Previous Articles    

Existence of martingale solution to stochastic cross-diffusion population-toxicant model

DU Yanyan, WANG Zong*   

  1. School of Science, Qingdao University of Technology, Qingdao 266520, Shandong, China
  • Published:2026-07-01

Abstract: In this paper, a random population-toxicant model with cross diffusion is established, and the approximate solution of the random cross diffusion model in finite dimensional space is obtained by using Galerkin finite element approximation method. The existence of the martingale solution in Hilbert space is proved by analyzing the existence and uniqueness, tightness criterion and weak convergence of the approximate solution.

Key words: population-toxicant model, martingale solutions, Galerkin approximation, cross diffusion

CLC Number: 

  • O175
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