Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
نویسندگان
چکیده
منابع مشابه
Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived. Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established. The global attractiveness of the solution is...
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In this paper, a predator–prey system with Beddington–DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, there exists a unique almost periodic solution which is shown to be globally asymptotically stable.
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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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We give a derivation of the DeAngelis-Beddington functional response in terms of mechanisms at the individual level, and for the first time involving prey refuges instead of the usual interference between predators.
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2016
ISSN: 2391-5455
DOI: 10.1515/math-2016-0099