Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 295
فایل این مقاله در 18 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CMDE-4-1_001
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
This paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. We study the equilibria of the system before and after the threshold. We show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. The global analysis of the model as well as boundedness and permanence properties are examined too. Then we analyze the effect of time delay on the stabilization of the equilibria, i.e., we study whether time delay could change the stability of a co-existence point from an unstable mood to a stable one. The system undergoes a Hopf bifurcation when it passes a critical time delay. Finally, some numerical simulations are performed to support our analytic results.
کلیدواژه ها:
نویسندگان
Razie Shafeii Lashkarian
Department of Basic science, Hashtgerd Branch, Islamic Azad University, Alborz, Iran
Dariush Behmardi Sharifabad
Department of Mathematics, Alzahra university, Tehran, Iran