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Equilibrium solutions for microscopic stochastic systems in population dynamics

MirosŁaw Lachowicz Tatiana Ryabukha

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The present paper deals with the problem of existence of equilibrium solutionsof equations describing the general population dynamics at the microscopic levelof modified Liouville equation (individually--based model) corresponding to a Markovjump process. We show the existence of factorized equilibrium solutions and discussuniqueness. The conditions guaranteeing uniqueness or non-uniqueness are proposedunder the assumption of periodic structures.

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Article URL   http://www.aimspress.com/MBE/article/2512.html
Article ID   1551-0018_2013_3_777
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