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author:

Wu, Yumin (Wu, Yumin.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德) | Du, Caifeng (Du, Caifeng.) [3]

Indexed by:

SCIE

Abstract:

In this paper, we consider a nonautonomous predator-prey model with Holling type II schemes and a prey refuge. By applying the comparison theorem of differential equations and constructing a suitable Lyapunov function, sufficient conditions that guarantee the permanence and global stability of the system are obtained. By applying the oscillation theory and the comparison theorem of differential equations, a set of sufficient conditions that guarantee the extinction of the predator of the system is obtained.

Keyword:

Global stability Holling type II Permanence Predator-prey Refuge

Community:

  • [ 1 ] [Wu, Yumin]China Univ Petr, Shengli Coll, Sch Basic Sci, Dongying 257061, Shandong, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350014, Fujian, Peoples R China
  • [ 3 ] [Du, Caifeng]China Univ Petr, Shengli Coll, Teaching Affairs Off, Dongying 257061, Shandong, Peoples R China

Reprint 's Address:

  • [Wu, Yumin]China Univ Petr, Shengli Coll, Sch Basic Sci, Dongying 257061, Shandong, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 2021

Issue: 1

Volume: 2021

3 . 7 6 1

JCR@2021

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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