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

Journal Article · Sun Jul 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-017-0459-4· OSTI ID:22769305

Govinder, K. S. ^[1]; Doungmo Goufo, E. F. ^[2]

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1. University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science (South Africa)
2. University of South Africa, Department of Mathematical Sciences (South Africa)

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.

• OSTI ID: 22769305
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 3; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
ANIMALS
ECOLOGY
ECOSYSTEMS
FOOD CHAINS
TRAVELLING WAVES