TY - JOUR

T1 - Lotka-volterra two-species system with periodic interruption of competition

AU - Nakajima, H.

AU - Yonejima, K.

AU - Matsuoka, T.

AU - Seno, H.

PY - 2008/6

Y1 - 2008/6

N2 - We consider the two-species Lotka-Volterra competition system with a temporally periodic interruption of competition coefficient. We assume that the competition coefficient is constant in a time interval of fixed length τ+, while it is zero in the other time interval of length τ-. The temporal variation of the competition coefficient is rigorously periodic with period τ+ + τ-, in which the competition coefficient becomes a given positive constant and zero by turns, the other parameters being constant in time. We analyze the system analytically and numerically, and derive the condition for the permanence of the whole system, the coexistence of two competing species, and the change of the species-dominance in terms of the competition. We discuss some interesting natures of our system, distinguished from the original two-species Lotka-Volterra competition system with constant competition coefficients. The temporal interruption of competition could cause the change of the destiny of competing species.

AB - We consider the two-species Lotka-Volterra competition system with a temporally periodic interruption of competition coefficient. We assume that the competition coefficient is constant in a time interval of fixed length τ+, while it is zero in the other time interval of length τ-. The temporal variation of the competition coefficient is rigorously periodic with period τ+ + τ-, in which the competition coefficient becomes a given positive constant and zero by turns, the other parameters being constant in time. We analyze the system analytically and numerically, and derive the condition for the permanence of the whole system, the coexistence of two competing species, and the change of the species-dominance in terms of the competition. We discuss some interesting natures of our system, distinguished from the original two-species Lotka-Volterra competition system with constant competition coefficients. The temporal interruption of competition could cause the change of the destiny of competing species.

KW - Competition

KW - Lotka-volterra system

KW - Mathematical model

KW - Permanence

KW - Temporal heterogeneity

UR - http://www.scopus.com/inward/record.url?scp=44849086082&partnerID=8YFLogxK

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U2 - 10.1142/S0218339008002496

DO - 10.1142/S0218339008002496

M3 - Article

AN - SCOPUS:44849086082

SN - 0218-3390

VL - 16

SP - 295

EP - 308

JO - Journal of Biological Systems

JF - Journal of Biological Systems

IS - 2

ER -