کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
755957 896090 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A delay digestion process with application in a three-species ecosystem
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
A delay digestion process with application in a three-species ecosystem
چکیده انگلیسی

In a natural ecosystem, specialist predators feed almost exclusively on one specific species of prey which may be possible for a parasitoid. But generalist predators feed on many types of species. It is also well known that the predation rate increases as prey density rises, but eventually levels off due to the predator’s handling time. The response function, thereby, is often assumed to Holling II functional response. In addition, digestion processes of the predation often involve reactions with delays. In view of these facts, a three-species ecosystem with a delay digestion process and Holling functional response is formulated. By analyzing the corresponding characteristic equations, the stability of the equilibria is investigated. Furthermore, Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated. The consequence of global stability of the positive equilibrium is that predation will not irreversibly change the system. That is, as long as preys are not made extinct by excessive predation of their predator, the system is able to recover. Numerical simulations are carried out to illustrate our theoretical results. Meanwhile, they indicate that time delay is harmless for permanence of populations even thought it has a tendency to produce oscillations.

Research highlights
► In a natural ecosystem, specialist predators feed almost exclusively on one specific species of prey which may be possible for a parasitoid.
► But generalist predators feed on many types of species.
► It is also well known that the predation rate increases as prey density rises, but eventually levels off due to the predator’s handling time.
► The response function, thereby, is often assumed to Holling II functional response.
► In addition, digestion processes of the predation often involve reactions with delays.
► In view of these facts, a three-species ecosystem with a delay digestion process and Holling functional response is formulated.
► By analyzing the corresponding characteristic equations, the stability of the equilibria is investigated.
► Furthermore, Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated.
► The consequence of global stability of the positive equilibrium is that predation will not irreversibly change the system.
► That is, as long as preys are not made extinct by excessive predation of their predator, the system is able to recover.
► Numerical simulations are carried out to illustrate our theoretical results.
► Meanwhile, they indicate that time delay is harmless for permanence of populations even thought it has a tendency to produce oscillations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 11, November 2011, Pages 4365–4378
نویسندگان
, , ,