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Limit cycles for competitor–competitor–mutualist Lotka–Volterra systems
It is known that a limit cycle (or periodic coexistence) can occur in a competitor–competitor–mutualist Lotka–Volterra system ẋ1 = x1(r1 − a11x1 − a12x2 + a13x3), ẋ2 = x2(r2 − a21x1 − a22x2 + a23x3), ẋ3 = x3(r3 + a31x1 + a32x2 − a33x3), where ri , ai j are positive real constants [X. Liang, J. Jiang, The dynamical behavior of type-K competitive Kolmogorov systems and its applications to 3-di...
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ژورنال
عنوان ژورنال: Nature
سال: 1989
ISSN: 0028-0836,1476-4687
DOI: 10.1038/342218b0