Abstract
False codling moth (FCM) is regarded as the most significant indigenous pest. Over 70 host plants are attacked by larval, many of which are horticultural crops with fruit, pods, and berries, such as beans, grapes, citrus, capsicum, avocado, guava, pomegranate, and ornamental plants. They eat macadamia nuts, cotton, tea, and a variety of other wild plants as well. Female moths are drawn to the flower heads as well as other parts of the plant, making this pest especially problematic on roses grown for cut flowers. Therefore, controlling this pest is of importance. For more effective control, pheromone traps are used to capture males attracted to the artificial pheromone. In this study, mathematical model of FCM control using pheromone trap is developed. The model, is based on biological and ecological assumptions, and is governed by an ODE system. The coexistence and pest free equilibria is determined through a theoretical analysis. The theoretical analysis of the model allows for the identification of pheromone threshold values that are practical for field applications. We show that there is a threshold above which the global asymptotic stability of the trivial equilibrium is guaranteed. Finally, we demonstrate the theoretical results through numerical experiments.
Highlights
False codling moth (FCM), (Thaumatotibia leucotreta) is considered the most significant indigenous pest due to its potential economic impact on many horticultural and agricultural crops [22]. larval attack over 70 host plants, many of which are horticultural crops with fruit, pods, and berries, such as beans, grapes, citrus, capsicum, avocado, guava, pomegranate, and ornamental plants
We propose a simple mathematical model for false codling moth control using pheromone traps
Since the transfer rate from larval to pupal stage is λ3, and assuming that the natural mortality of fertile females is ω4 at temperature τ4, and letting κ be the fraction of pupal population that moves to fertile female stage (Ff )
Summary
False codling moth (FCM), (Thaumatotibia leucotreta) is considered the most significant indigenous pest due to its potential economic impact on many horticultural and agricultural crops [22]. larval attack over 70 host plants, many of which are horticultural crops with fruit, pods, and berries, such as beans, grapes, citrus, capsicum, avocado, guava, pomegranate, and ornamental plants. Chemical pesticides have been extensively used to control pest population such as FCM for a long time all over the world Their extensive use has led to environmental pollution and reduction of pest’s natural enemies resulting to undesirable side effects on the environment [18]. Pheromone traps can be effective in disrupting mate location preventing mating and blocking reproduction cycle [37] It leads to reduction of wild population of FCM in a farm [13]. We propose a simple mathematical model for false codling moth control using pheromone traps In this model, the FCM is represented by the egg, the larval stages, the pupal stage, and adults stages and the susceptible host are represented by a system of ODE
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