Stochastic dynamics of populations with refuge in polluted turbidostat

Mu, Yu; Lo, Wing-Cheong

doi:10.1016/j.chaos.2021.110963

Cited by 8 publications

(1 citation statement)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the next theorem, we will prove the existence and uniqueness of a global positive solution of the system (2). This approach has recently been used in many papers for the analysis of stochastic predator-prey systems [23][24][25][26][27], stochastic epidemic models [28][29][30][31][32][33][34] and stochastic eco-epidemiological models [35].…”

Section: Dynamics Of the Stochastic Modelmentioning

confidence: 99%

Stochastic Modelling of Red Palm Weevil Using Chemical Injection and Pheromone Traps

El-Shahed

Al-Nujaiban

Abdel-Baky

2022

Axioms

View full text Add to dashboard Cite

This paper deals with the mathematical modelling of the red palm weevil (RPW), Rhynchophorus ferrugineus (Olivier) (Coleoptera: Curculionidae), in date palms using chemical control by utilizing injection and sex pheromone traps. A deterministic and stochastic model for RPW is proposed and analyzed. The existence of a positive global solution for the stochastic RPW model is investigated, and the conditions for the extinction of RPWs from the stochastic system are obtained. The adequate criteria for the presence of a unique ergodic stationary distribution for the RPW system are established by creating suitable Lyapunov functions. The impact of chemical injection and pheromone traps on RPW is demonstrated. The importance of environmental noise on RPW is highlighted and simulated using the Milstein method.

show abstract

Section: Dynamics Of the Stochastic Modelmentioning

confidence: 99%

Stochastic Modelling of Red Palm Weevil Using Chemical Injection and Pheromone Traps

El-Shahed

Al-Nujaiban

Abdel-Baky

2022

Axioms

View full text Add to dashboard Cite

show abstract

A stochastic turbidostat model with Ornstein-Uhlenbeck process: dynamics analysis and numerical simulations

Jiang

Hayat

et al. 2022

Nonlinear Dyn

View full text Add to dashboard Cite

Many turbidostat models are affected by environmental noise due to various complicated and uncertain factors, and Ornstein-Uhlenbeck process is a more effective and precise way. We formulate a stochastic turbidostat system incorporating Ornstein-Uhlenbeck process in this paper, develop dynamical behavior for the stochastic model, which include the existence and uniqueness of globally positive equilibrium, su cient conditions of the extinction, the existence of a unique stationary distribution and an expression of density function of quasi-stationary distribution around the positive solution of the deterministic model. The results indicate that the weaker volatility intensity can ensure the existence and uniqueness of stationary distribution, and the stronger reversion speed can lead to the extinction of microorganism. The validity of analytical results is veri ed through numerical simulation, which assess the in uence of the reversion speed and the volatility intensity on the long-term behavior of microorganism.

show abstract

Long-Time Behavior of a Stochastic Turbidostat Model Under Degenerate Diffusion

Cao

Jiang

2023

J Syst Sci Complex

View full text Add to dashboard Cite

Stochastic dynamics of populations with refuge in polluted turbidostat

Cited by 8 publications

References 45 publications

Stochastic Modelling of Red Palm Weevil Using Chemical Injection and Pheromone Traps

Stochastic Modelling of Red Palm Weevil Using Chemical Injection and Pheromone Traps

A stochastic turbidostat model with Ornstein-Uhlenbeck process: dynamics analysis and numerical simulations

Long-Time Behavior of a Stochastic Turbidostat Model Under Degenerate Diffusion

Contact Info

Product

Resources

About