کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1898560 | 1044734 | 2012 | 20 صفحه PDF | دانلود رایگان |
We introduce a mathematical model of symbiosis between different species by taking into account the influence of each species on the carrying capacities of the others. The modeled entities can pertain to biological and ecological societies or to social, economic and financial societies. Our model includes three basic types: symbiosis with direct mutual interactions, symbiosis with asymmetric interactions, and symbiosis without direct interactions. In all cases, we provide a complete classification of all admissible dynamical regimes. The proposed model of symbiosis turned out to be very rich, as it exhibits four qualitatively different regimes: convergence to stationary states, unbounded exponential growth, finite-time singularity, and finite-time death or extinction of species.
► A model of symbiosis is advanced.
► Species interactions are realized through species carrying capacities.
► Classification of symbiosis types is given.
Journal: Physica D: Nonlinear Phenomena - Volume 241, Issue 15, 1 August 2012, Pages 1270–1289