Spatio-temporal oscillation for a singular predator-prey model

被引：3

作者：

Guo, Jong-Shenq ^{[1
]}

Shimojo, Masahiko ^{[2
]}

机构：

[1] Tamkang Univ, Dept Math, 151 Yingzhuan Rd, New Taipei 25137, Taiwan

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 459卷 / 01期

关键词：

Singular predator-prey model; Darboux integrable; Center; Spatial-temporal oscillation; BEHAVIOR; SYSTEM;

D O I：

10.1016/j.jmaa.2017.10.080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an initial boundary value problem for a reaction diffusion system arising in the study of a singular predator prey system. Under an assumption on the growth rates, we first prove that the unique co-existence state is a center for the kinetic system. Then we prove that solutions of the diffusion system with equal diffusivity become spatially homogeneous and are subject to the kinetic part asymptotically. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1 / 9

页数：9

共 50 条

[21] Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model
Burgera, Raimund
Ruiz-Baier, Ricardo
Tian, Canrong
MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 132 : 28 - 52
[22] Dynamics and spatio-temporal patterns in a prey-predator system with aposematic prey
Sasmal, Sourav Kumar
Banerjee, Jeet
Takeuchi, Yasuhiro
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (05) : 3864 - 3884
[23] Spatio-temporal pattern selection in a prey-predator model with hunting cooperation and Allee effect in prey✩
Han, Renji
Dey, Subrata
Banerjee, Malay
CHAOS SOLITONS & FRACTALS, 2023, 171
[24] Bifurcation Analysis and Spatio-Temporal Patterns of a Prey-Predator Model with Hunting Cooperation
Dey, Subrata
Banerjee, Malay
Ghorai, S.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (11):
[25] Time delay can enhance spatio-temporal chaos in a prey-predator model
Banerjee, Malay
Zhang, Lai
ECOLOGICAL COMPLEXITY, 2016, 27 : 17 - 28
[26] Mathematical Scrutiny of Singular Predator-Prey Model with Stage-Structure of Prey
U. Yadav
A. K. Nayak
S. Gakkhar
Acta Applicandae Mathematicae, 2024, 189
[27] Mathematical Scrutiny of Singular Predator-Prey Model with Stage-Structure of Prey
Yadav, U.
Nayak, A. K.
Gakkhar, S.
ACTA APPLICANDAE MATHEMATICAE, 2024, 189 (01)
[28] Effects of time delay on a singular predator-prey bioeconomic model
Zhang Yue
Zhang Qingling
Zhou Juan
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 8321 - 8324
[29] Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
Baurmann, Martin
Gross, Thilo
Feudel, Ulrike
JOURNAL OF THEORETICAL BIOLOGY, 2007, 245 (02) : 220 - 229
[30] On the existence of generalized solutions to a spatio-temporal predator–prey system with prey-taxis
Dietmar Hömberg
Robert Lasarzik
Luisa Plato
Journal of Evolution Equations, 2023, 23

← 1 2 3 4 5 →