Minimal Wave Speed in an Integrodifference System of Predator-Prey Type

被引：0

作者：

Sun, Baoju ^{[1
]}

Wu, Fuzhen ^{[1
]}

机构：

[1] Zhejiang Univ Water Resources & Elect Power, Dept Basic, Key Lab Technol Rural Water Management Zhejiang P, Hangzhou 310018, Zhejiang, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2020年 / 2020卷

关键词：

TRAVELING-WAVES; SPREADING SPEEDS; MODELS; GROWTH; EQUATIONS; SLOW;

D O I：

10.1155/2020/2704620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.

引用

页数：10

共 50 条

[1] Travelling wave solutions in a predator-prey integrodifference system
Wang, Yahui
Lin, Guo
Niu, Yibin
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (04) : 512 - 530
[2] Minimal wave speed for a predator-prey system with nonlocal dispersal
Tang, Wan-Yue
Yang, Fei-Ying
Jiang, Bing-Er
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
[3] Minimal wave speed in a dispersal predator-prey system with delays
Li, Xue-Shi
Pan, Shuxia
Shi, Hong-Bo
BOUNDARY VALUE PROBLEMS, 2018,
[4] Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle
Lin, Guo
Niu, Yibin
Pan, Shuxia
Ruan, Shigui
BULLETIN OF MATHEMATICAL BIOLOGY, 2020, 82 (05)
[5] The spreading speed and the minimal wave speed of a predator-prey system with nonlocal dispersal
Ducrot, Arnaud
Guo, Jong-Shenq
Lin, Guo
Pan, Shuxia
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (05):
[6] Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
Wu, Fuzhen
Li, Dongfeng
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[7] Propagation threshold in an integrodifference predator-prey system of Leslie-Gower type
Wu, Fuzhen
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2021, 27 (01) : 26 - 40
[8] Invasion Speed of the Prey in a Predator-Prey System
Pan, Shuxia
Lin, Guo
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (06) : 3983 - 3990
[9] Minimal wave speed of a competition integrodifference system
Li, Luping
Kang, Shugui
Kong, Lili
Chen, Huiqin
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (06) : 941 - 954
[10] Invasion speed of a predator-prey system
Pan, Shuxia
APPLIED MATHEMATICS LETTERS, 2017, 74 : 46 - 51

← 1 2 3 4 5 →