POSITIVE SOLUTIONS FOR A PREDATOR-PREY INTERACTION MODEL WITH HOLLING-TYPE FUNCTIONAL RESPONSE AND DIFFUSION
نویسندگان
چکیده
منابع مشابه
Periodic solutions for a predator-prey model with Holling-type functional response and time delays
A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulat...
متن کاملPositive Periodic Solutions for Neutral Delay Ratio-Dependent Predator-Prey Model with Holling-Tanner Functional Response
The dynamic relationship between the predator and the prey has long been and will continue to be one of the dominant themes in population dynamics due to its universal existence and importance in nature 1 . In order to precisely describe the real ecological interactions between species such asmite and spidermite, lynx and hare, and sparrow and sparrow hawk, described by Tanner 2 and Wollkind et...
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 کاملPositive Almost Periodic Solutions for a Delayed Predator–Prey Model with Hassell-Varley Type Functional Response
Tianwei Zhang 1,*, Liyan Pang 2 and Yongzhi Liao 3 1 City College, Kunming University of Science and Technology, Kunming 650051, China 2 School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000, China; [email protected] 3 School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China; [email protected] * Correspondence: zh...
متن کاملPositive Solutions for a General Gause-Type Predator-Prey Model with Monotonic Functional Response
and Applied Analysis 3 Let λ1 h denote the principle eigenvalue of the following eigenvalue problem: −d2Δu h x u λu inΩ, u 0 on ∂Ω, 2.2 and denote λ1 0 , λ1 0 by λ1, λ ∗ 1 for simplicity. It is easy to know that λ1 h , λ ∗ 1 h is strictly increasing see 23, 24 . In order to calculate the indexes at the trivial and semitrivial states by means of the fixed point index theory, we also need to intr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2011
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406420