کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1888836 1533642 2016 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting
چکیده انگلیسی


• Prey and generalist type predator system is considered.
• Growth is proportional to number who born before certain period and alive now.
• Age-selective harvesting of prey and predator are considered.
• Direction and stability of Hopf-bifurcation are investigated.
• Real examples support the model and analysis.

Age-selective harvesting where harvesting of species after a certain age is a scientific strategy with respect to biological and economical point of views. By this method we can overcome the unexpected extinction risk of any harvested population due to random harvesting below its maturation (age, body size or weight). The objective of this paper is to study dynamic behavior of preypredator system with alternative form of time delay in harvesting. Arino et al. [2] have given alternative expression for a delayed logistic equation. Using this expression of time delay, a preypredator system with Holling type III functional response and independent age-selective harvesting is proposed and analyzed. We find out the critical values of delay parameters under different dynamical situations and observe that system is stable and unstable when the delay parameters are bellow and above the critical values respectively and there is Hopf bifurcation when delay parameters cross the critical values. System shows these interesting dynamical features under different critical parametric restrictions. Using the normal form theory and the center manifold theorem, we determine the stability and direction of the bifurcating periodic solutions. Numerical simulations illustrate the analytical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 83, February 2016, Pages 252–273
نویسندگان
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