Delay induced oscillation in predator–prey system with Beddington–DeAngelis functional response

2007 ◽  
Vol 190 (2) ◽  
pp. 1296-1311 ◽  
Author(s):  
Guojian Lin ◽  
Yiguang Hong
Keyword(s):  
Functional Response ◽  
Predator Prey ◽  
Prey System

scholarly journals Investigation on dynamics of an impulsive predator–prey system with generalized Holling type IV functional response and anti-predator behavior

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sekson Sirisubtawee ◽  
Nattawut Khansai ◽  
Akapak Charoenloedmongkhon
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Control ◽  
Positive Periodic Solution ◽  
Existence Condition ◽  
Predator Prey ◽  
Type Iv ◽  
Prey System ◽  
Existence And Stability ◽  
Predator Behavior

AbstractIn the present article, we propose and analyze a new mathematical model for a predator–prey system including the following terms: a Monod–Haldane functional response (a generalized Holling type IV), a term describing the anti-predator behavior of prey populations and one for an impulsive control strategy. In particular, we establish the existence condition under which the system has a locally asymptotically stable prey-eradication periodic solution. Violating such a condition, the system turns out to be permanent. Employing bifurcation theory, some conditions, under which the existence and stability of a positive periodic solution of the system occur but its prey-eradication periodic solution becomes unstable, are provided. Furthermore, numerical simulations for the proposed model are given to confirm the obtained theoretical results.

scholarly journals On a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey

2010 ◽  
Vol 2010 ◽  
pp. 1-12
Author(s):  
Xiangzeng Kong ◽  
Zhiqin Chen ◽  
Li Xu ◽  
Wensheng Yang
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Iii Functional Response

We propose and study the permanence of the following periodic Holling III predator-prey system with stage structure for prey and both two predators which consume immature prey. Sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.

scholarly journals Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Weibing Wang ◽  
Jianhua Shen ◽  
Juan J. Nieto
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Effect ◽  
Two Dimensional ◽  
Stable Periodic Solution ◽  
Predator Prey ◽  
Prey System ◽  
Stable Periodic ◽  
Holling Type Functional Response

We considered a nonautonomous two dimensional predator-prey system with impulsive effect. Conditions for the permanence of the system and for the existence of a unique stable periodic solution are obtained.

scholarly journals Permanence of Periodic Predator-Prey System with Functional Responses and Stage Structure for Prey

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
Can-Yun Huang ◽  
Min Zhao ◽  
Hai-Feng Huo
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Functional Responses ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Ii Functional Response

A stage-structured three-species predator-prey model with Beddington-DeAngelis and Holling II functional response is introduced. Based on the comparison theorem, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained. An example is also presented to illustrate our main results.

scholarly journals Multiple Bifurcations in a Delayed Predator–Prey System with Nonmonotonic Functional Response

2001 ◽  
Vol 176 (2) ◽  
pp. 494-510 ◽  
Author(s):  
Dongmei Xiao ◽  
Shigui Ruan
Keyword(s):  
Functional Response ◽  
Predator Prey ◽  
Prey System ◽  
Nonmonotonic Functional Response

scholarly journals The Dynamical Behavior of a Predator-Prey System with Holling Type II Functional Response and Allee Effect

2020 ◽  
Vol 11 (05) ◽  
pp. 407-425
Author(s):  
Shuangte Wang ◽  
Hengguo Yu ◽  
Chuanjun Dai ◽  
Min Zhao
Keyword(s):  
Functional Response ◽  
Allee Effect ◽  
Dynamical Behavior ◽  
Type Ii ◽  
Predator Prey ◽  
Prey System ◽  
Type Ii Functional Response

scholarly journals The Dynamical Behavior of a Certain Predator-Prey System with Holling Type II Functional Response

2020 ◽  
Vol 08 (03) ◽  
pp. 527-547
Author(s):  
Shuangte Wang ◽  
Hengguo Yu ◽  
Chuanjun Dai ◽  
Min Zhao
Keyword(s):  
Functional Response ◽  
Dynamical Behavior ◽  
Type Ii ◽  
Predator Prey ◽  
Prey System ◽  
Type Ii Functional Response

Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response

2016 ◽  
Vol 93 ◽  
pp. 20-31 ◽  
Author(s):  
S.M. Salman ◽  
A.M. Yousef ◽  
A.A. Elsadany
Keyword(s):  
Functional Response ◽  
Bifurcation Analysis ◽  
Chaos Control ◽  
Square Root ◽  
Predator Prey ◽  
Prey System
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