Movement, competition and pattern formation in a two prey-one predator food chain model

被引：10

作者：

Djomegni, P. M. Tchepmo ^{[1
]}

Govinder, K. S. ^{[2
,3
]}

Goufo, E. F. Doungmo ^{[1
]}

机构：

[1] Univ South Africa, Dept Math Sci, ZA-0003 Johannesburg, South Africa

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Univ Rd, ZA-4001 Durban, South Africa

[3] Ohio State Univ, Math Biosci Inst, Jennings Hall 3rd Floor,1735 Neil Ave, Columbus, OH 43210 USA

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 03期

关键词：

Predator-prey model; Food chain; Traveling waves; Ecosystem dynamics; Pattern formation; NATURAL ENEMIES; SOIL COMMUNITY; TRAVELING-WAVE; COEXISTENCE; DYNAMICS; BIODIVERSITY; CHEMOTAXIS; STABILITY; PROMOTES; FEEDBACK;

D O I：

10.1007/s40314-017-0459-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The complexity of interactions among species remains a captivating phenomenon in the ecology. In this paper, a food chain model characterized by two prey and one predator is analyzed. Unlike previous approaches, our analysis incorporates the velocity of the animals movement into the system, as well as rivalries between prey. We establish a condition for the coexistence of all populations which underscores the importance of the animals' velocities. Indeed, failing to consider the velocities increases the margin of error in the prediction process. We illustrate various patterns caused by the phenomenon of transport-driven instability.

引用

页码：2445 / 2459

页数：15

共 52 条

[41] GRAPHICAL REPRESENTATION AND STABILITY CONDITIONS OF PREDATOR-PREY INTERACTIONS [J].