Global Existence of Positive Periodic Solution in Predator-Prey System
Yuan Sanling, Jin Zhen,Ma Zhi'en
(Xi'an Jiaotong University,Xi'an 710049,China)
Global Existence of Positive Periodic Solution in
Predator-Prey System
Yuan Sanling, Jin Zhen,Ma Zhi'en
(Xi'an Jiaotong University,Xi'an 710049,China)
Abstract: A
positive periodic predator-prey system is investigated for a Holling III type functional response.By using contin uation theorem in coincidence degree
theory and constructing the set satisfying the conditions of lemma 1, thatLx equals Nx is proved existing at least one
solution in the cap of the domain Land the closure of this set. The sufficient condition
to ensure the global existence of periodic solution is obtained.
Keywords: predator-prey
system;Holling III type functional response;periodic
solution;continuation theorem;coincidence degree