Two positive almost periodic solutions of harvesting predator-prey model with holling III type functional response and time delays

نویسندگان

  • LIYAN PANG
  • LIJUN XU
  • TIANWEI ZHANG
  • Liyan Pang
  • Lijun Xu
  • Tianwei Zhang
چکیده

By means of Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the existence of at least two positive almost periodic solutions of harvesting predator-prey model with Holling III type functional response and time delays. An example and numerical simulations are employed to illustrate the main result of this paper. Key–Words: Almost periodicity; Coincidence degree; Predator-prey model; Holling III; Harvesting.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiple Positive Periodic Solutions to a Predator-prey system with Harvesting Terms and Holling II Type Functional Response

In this paper, a periodic predator-prey system with harvesting terms and Holling II type functional response is considered. Sufficient criteria for the existence of at least sixteen periodic solutions are established by using the well known continuation theorem due to Mawhin. An example is given to illustrate the main result. Keywords—Periodic solution; Predator-prey system; Harvesting terms; C...

متن کامل

Periodic solution in a delayed predator prey model with Holling type III functional response and harvesting term∗

Abstract. In this paper, a delayed predator-prey system with harvesting and Holling type-III functional response is investigated. The local stability of a positive equilibrium and the existence of Hopf bifurcations are established. By using the normal form theory and center manifold reduction, the explicit algorithm determining the stability, direction of the bifurcating periodic solutions are ...

متن کامل

Periodic Solutions for a Delayed Predator-Prey System with Harvesting Terms and Holling IV Functional Responses on Time Scales

In this paper, we investigate a delayed predator-prey system with Holling IV functional responses and harvesting terms on time scales. By using coincidence degree theory, we establish the existence of at least two positive periodic solutions for the above model.

متن کامل

Periodic Solutions and Stability for a Delayed Discrete Ratio-dependent Predator-prey System with Holling-type Functional Response

The existence of positive periodic solutions for a delayed discrete predator-prey model with Holling-type-III functional responseN1(k+1)=N1(k)exp{b1(k)−a1(k)N1(k− [τ1]) −α1(k)N1(k)N2(k)/(N 1 (k) +m2N 2 (k))}, N2(k + 1) = N2(k)exp{−b2(k) + α2(k)N 1 (k − [τ2])/(N 1 (k − [τ2]) + m2N 2 (k − [τ2]))} is established by using the coincidence degree theory. We also present sufficient conditions for the ...

متن کامل

Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model

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 a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015