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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


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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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.


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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