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Equilibrium solutions for microscopic stochastic systems in population dynamics

MirosŁaw Lachowicz Tatiana Ryabukha

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MBE2013,3,777doi:10.3934/mbe.2013.10.777

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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