Permanence of a Three-species Food Chain System with Impulsive Perturbations
نویسندگان
چکیده
منابع مشابه
Impulsive Perturbations of a Three-Species Food Chain System with the Beddington-DeAngelis Functional Response
The dynamics of an impulsively controlled three-species food chain system with the BeddingtonDeAngelis functional response are investigated using the Floquet theory and a comparison method. In the system, three species are prey, mid-predator, and top-predator. Under an integrated control strategy in sense of biological and chemical controls, the condition for extinction of the prey and the mid-...
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The dynamics of an impulsively controlled three-trophic food chain system with general nonlinear functional responses for the intermediate consumer and the top predator is analyzed using Floquet theory and comparison techniques. It is assumed that the impulsive controls act in a periodic fashion, the constant impulse (the biological control) and the proportional impulses (the chemical controls)...
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A three-species Lotka-Volterra system with impulsive control strategies containing the biological control the constant impulse and the chemical control the proportional impulse with the same period, but not simultaneously, is investigated. By applying the Floquet theory of impulsive differential equation and small amplitude perturbation techniques to the system, we find conditions for local and...
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A general predator-prey system is studied in a scheme where there is periodic impulsive perturbations. This scheme has the potential to protect the predator from extinction but under some conditions may also serve to lead to extinction of the prey. Conditions for extinction and permanence are obtained via the comparison methods involving monotone theory of impulsive systems and multiple Liapuno...
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2008
ISSN: 1225-6951
DOI: 10.5666/kmj.2008.48.3.503