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The aim of this paper is two-fold. First we analyze the sequence of intensitymeasures of a spatial branching point process arising in a multiple targettracking context. We study its stability properties, characterize its long timebehavior and provide a series of weak Lipschitz type functional contractioninequalities. Second we design and analyze an original particle scheme toapproximate numerically these intensity measures. Under appropriate regularityconditions, we obtain uniform and non asymptotic estimates and a functionalcentral limit theorem. To the best of our knowledge, these are the first sharptheoretical results available for this class of spatial branching pointprocesses.

Particle approximation of the intensity measures of a spatial branching point process arising in multi-target tracking