Superprocesses for the Population of Rabbits on Grassland
Proceedings of the Steklov Institute of Mathematics(2022)
摘要
Motivated by the control of rabbits on grassland, a model of a population with branching dynamics in a random environment is constructed. The system is described as the solution to a conditional martingale problem given the random environment which satisfies a stochastic partial differential equation (SPDE). The weak uniqueness of the solution to the system is established by characterizing its conditional log-Laplace transform through the solution to a related nonlinear SPDE.
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关键词
branching particle system, martingale problem, stochastic partial differential equation, weak uniqueness
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