In this paper, a mathematical model for lesser date moth is proposed and analyzed. The interaction between the date palm tree, lesser date moth, and natural enemy has been investigated. The impact of sex pheromone traps on lesser date moth is demonstrated. Some sufficient conditions are obtained to ensure the local and global stability of equilibrium points. The occurrence of local bifurcation near the equilibrium points is performed using Sotomayor’s theorem. Theoretical results are illustrated using numerical simulations.

中文翻译：

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使用性信息素陷阱和天敌对小枣蛾进行数学建模

提出并分析了小枣蛾的数学模型。研究了枣椰树，小枣蛾和天敌之间的相互作用。证明了性信息素陷阱对小枣蛾的影响。获得了一些足够的条件以确保平衡点的局部和全局稳定性。使用Sotomayor定理执行平衡点附近局部分支的发生。理论结果用数值模拟说明。