SEMI-EXACT SOLUTIONS AND PULSATING FRONTS FOR LOTKA-VOLTERRA SYSTEMS OF TWO COMPETING SPECIES IN SPATIALLY PERIODIC HABITATS

被引：3

作者：

Chen, Chiun-Chuan ^{[1
]}

Huang, Yin-Liang ^{[2
]}

Hung, Li-Chang ^{[3
]}

Wu, Chang-Hong ^{[4
]}

机构：

[1] Natl Taiwan Univ, Natl Ctr Theoret Sci, Dept Math, Taipei, Taiwan

[2] Natl Univ Tainan, Dept Appl Math, Tainan, Taiwan

[3] Natl Taiwan Univ, Dept Math, Taipei, Taiwan

[4] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 01期

关键词：

Semi-exact solutions; traveling wave solutions; reaction-diffusion equations; FRAGMENTED ENVIRONMENT MODEL; TRAVELING-WAVES; DIFFUSION; HETEROGENEITY; EVOLUTION; DISPERSAL; DYNAMICS;

D O I：

10.3934/cpaa.2020001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the coexistence states of the diffusive Lotka-Volterra system of two competing species when the growth rates of the two species depend periodically on the spacial variable. For the one-dimensional problem, we employ the generalized Jacobi elliptic function method to find semi-exact solutions under certain conditions on the parameters. In addition, we use the sine function to construct a pair of upper and lower solutions and obtain a solution of the above-mentioned system. Next, we provide a sufficient condition for the existence of pulsating fronts connecting two semi-trivial states by applying the abstract theory regarding monotone semiflows. Some numerical simulations are also included.

引用

页码：1 / 18

页数：18

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