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

被引：4
|
作者：
El-Shahed, Moustafa [1 ]
Al-Nujiban, Asma [2 ]
Abdel-Baky, Nagdy F. [3 ,4 ]
机构：
[1] Qassim Univ, Unaizah Coll Sci & Arts, Dept Math, POB 3771, Unaizah 51911, Saudi Arabia
[2] Qassim Univ, Unaizah Coll Sci & Arts, Dept Biol, POB 3771, Unaizah 51911, Saudi Arabia
[3] Qassim Univ, Coll Agr & Vet Med, Dept Plant Prod & Protect, Buraydah 51452, Saudi Arabia
[4] Mansoura Univ, Fac Agr, Econ Entomol Dept, Mansoura 35516, Egypt
来源：
AXIOMS | 2022年 / 11卷 / 07期
关键词：
stochastic models; stability; sex pheromone trap; Rhynchophorus ferrugineus; chemical injection; RHYNCHOPHORUS-FERRUGINEUS OLIVIER; DATE PALM; AGGREGATION PHEROMONE; DYNAMICS; COLEOPTERA; MANAGEMENT; IMPACT;
D O I：
10.3390/axioms11070334
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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