Individual Based Model with Competition in Spatial Ecology

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
2009 SIAM Journal on Mathematical Analysis  
We analyze an interacting particle system with a Markov evolution of birth-and-death type. We have shown that a local competition mechanism (realized via a density dependent mortality) leads to a globally regular behavior of the population in course of the stochastic evolution.
doi:10.1137/080719376 fatcat:foswv4qrojernautgriv47frfi