Titlebook: Stochastic Modeling; Nicolas Lanchier Textbook 2017 Springer International Publishing AG 2017 Martingales.Markov Chains.Poisson Processes.

凌辱

Evolve

arbovirus

Wright–Fisher and Moran modelsng from a set of sites that we think of as spatial locations and the dynamics is dictated by global interactions. Rather than being either empty or occupied, these sites are now occupied by one of two possible types of individuals that we call type 0 and type 1.

要素

提名

Martingales think of a martingale as the process that keeps track of the fortune of a gambler playing a fair game. Similarly, we think of submartingales and supermartingales as the processes that, respectively, keep track of the fortune of a gambler playing a favorable and an unfavorable game.

microscopic

铁砧

Logistic growth processeither invasion models or as competition models. They mostly differ in their level of realism from the point of view of the inclusion or not of a temporal structure and/or an explicit spatial structure, but are otherwise closely related.