Discontinuity, Nonlinearity, and Complexity
Permanence of Stochastic Biological Systems
Discontinuity, Nonlinearity, and Complexity 8(2) (2019) 155--168 | DOI:10.5890/DNC.2019.06.004
Shashi Kant
India Meteorological Department, Bhubaneswar, India, 751020
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Abstract
Area of research related to prey-predator systems is an important topic. The concept of permanence is an important issues related to biological systems. In general permanence is considered as a combination of persistence and boundedness. Following this, this paper reviews few existing definitions of stochastic permanence. Following the existing definition, in this paper a new definition of permanence for stochastic biological systems has been proposed, which modifies the existing ones. The permanence of a general
Lotka-Volterra stochastic two species cooperation, competition and predation systems is proved by new definition.
Acknowledgments
Author express thanks to the reviewers. The views expressed in this article are the views of author and the author’s institute may not agree with them.
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