3 citations · 7 across the 8 of their papers we have counts for
5 papers · 1 filter
On the Statistical Mechanics of Large Populations
Yuri Kozitsky, Krzysztof Pilorz
There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interc…
Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps
Igor Omelyan, Yuri Kozitsky, Krzysztof Pilorz
An algorithm is proposed for finding numerical solutions of a kinetic equation that describes an infinite system of point articles placed in . The particle…
Jumps and Coalescence in the Continuum: a Numerical Study
Kozitsky Yuri, Omelyan Igor, Pilorz Krzysztof
The dynamics is studied of an infinite continuum system of jumping and coalescing point particles. In the course of jumps, the particles repel each other whereas their coalescence…
Random jumps and coalescence in the continuum: evolution of states of an infinite system
Yuri Kozitsky, Krzysztof Pilorz
The dynamics of an infinite continuum system of randomly jumping and coalescing point particles is studied. The states of the system are probability measures on the corresponding c…
A kinetic equation for repulsive coalescing random jumps in continuum
Krzysztof Pilorz
A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtai…