Institute of Applied Mathematics and Mechanics, University of Warsaw, 2, Banach Str., 02-097 Warsaw, Poland.
Math Biosci Eng. 2013 Jun;10(3):777-86. doi: 10.3934/mbe.2013.10.777.
The present paper deals with the problem of existence of equilibrium solutions of equations describing the general population dynamics at the microscopic level of modified Liouville equation (individually--based model) corresponding to a Markov jump process. We show the existence of factorized equilibrium solutions and discuss uniqueness. The conditions guaranteeing uniqueness or non-uniqueness are proposed under the assumption of periodic structures.
本文讨论了修正的刘维尔方程（基于个体的模型）描述微观水平下一般种群动力学的方程组的平衡解的存在性问题。我们证明了因子化平衡解的存在性，并讨论了其唯一性。在周期性结构的假设下，提出了保证唯一性或非唯一性的条件。
