Mathematical Modelling of Lesser Date Moth Using Sex Pheromone Traps and Natural Enemies | Zendy

Moustafa El-Shahed | Zendy; Asmaa M. Al-Dubiban | Zendy

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Mathematical Modelling of Lesser Date Moth Using Sex Pheromone Traps and Natural Enemies

Author(s) -

Moustafa El-Shahed,

Asmaa M. Al-Dubiban

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/8835321

Subject(s) - pheromone , sex pheromone , tree (set theory) , bifurcation , stability (learning theory) , mathematics , natural (archaeology) , mathematical economics , physics , computer science , ecology , biology , mathematical analysis , zoology , paleontology , nonlinear system , quantum mechanics , machine learning

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.

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