Geodesic
Superprocesses for the Population of Rabbits on Grassland
Informatics and Automation, Branching Processes and Related Topics, Tome 316 (2022), pp. 207-221

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: branching particle system, martingale problem, stochastic partial differential equation, weak uniqueness. 
@article{TRSPY_2022_316_a13,
     author = {Lina Ji and Jie Xiong},
     title = {Superprocesses for the {Population} of {Rabbits} on {Grassland}},
     journal = {Informatics and Automation},
     pages = {207--221},
     publisher = {mathdoc},
     volume = {316},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2022_316_a13/}
}
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Lina Ji; Jie Xiong. Superprocesses for the Population of Rabbits on Grassland. Informatics and Automation, Branching Processes and Related Topics, Tome 316 (2022), pp. 207-221. http://geodesic.mathdoc.fr/item/TRSPY_2022_316_a13/