Dynamical Behavior of a Stochastic Microorganism Flocculation Model with Nonlinear Perturbation

• Xiaojie Mu ^[2] ; Daqing Jiang ^[2] ; Ahmed Alsaedi ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
  2. [2] China University of Petroleum (East China)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Due to many uncertain factors, the microorganism flocculation models could be affected by environmental noise. The paper aims to discuss the dynamical behavior of a stochastic microorganism flocculation model, including the extinction and the persistence. Moreover, the expression of density function near the positive equilibrium point is explicitly obtained. Our results indicate that a larger white noise can accelerate the extinction of microorganism, while a weaker white noise can guarantee the existence of stationary distribution. In addition, our theory is confirmed by some numerical examples.