Superprocesses for the Population of Rabbits on Grassland

Lina Ji ; Jie Xiong

Informatics and Automation, Branching Processes and Related Topics, Tome 316 (2022), pp. 207-221.

Résumé

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.

Détail

Keywords: branching particle system, martingale problem, stochastic partial differential equation, weak uniqueness.

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