Periodic Solutions for a Delayed Predator-Prey System with Harvesting Terms and Holling IV Functional Responses on Time Scales
نویسندگان
چکیده
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.
منابع مشابه
Multiple Periodic Solutions of Delayed Predator-prey Systems with Harvesting Terms and Holing III Type Functional Responses on Time Scales
In this paper, we consider a periodic delayed predator-prey systems with harvesting terms and Holing III type functional responses on time scales. Using coincidence degree theory, some sufficient conditions are obtained for the global existence of multiple positive periodic solutions of the model.
متن کاملMultiple 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 کاملThreshold 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 کاملPeriodic Solutions for a Semi-ratio-dependent Predator-prey Dynamical System with a Class of Functional Responses on Time Scales
In this paper we explore the existence of periodic solutions of a nonautonomous semi-ratio-dependent predator-prey dynamical system with functional responses on time scales. To illustrate the utility of this work, we should mention that, in our results this system with a large class of monotone functional responses, always has at least one periodic solution. For instance, this system with some ...
متن کاملTwo positive almost periodic solutions of harvesting predator-prey model with holling III type functional response and time delays
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 periodicit...
متن کاملذخیره 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 2013