In current publication within the framework of method of extreme points various characteristics of feasible sets are applied for forecast of population dynamics. Following characteristics were used: maximum, minimum and average values for all trajectories with parameters belonging to feasible set, trajectory with best characteristics for Kolmogorov Smirnov criterion, and trajectory with lowest ...

Wave propagation can be clearly discerned in data collected on mouse populations in the Cibola National Forest (New Mexico, USA) related to seasonal changes. During an exploration of the construction of a methodology for investigations of the spread of the Hantavirus epidemic in mice we have built a system of interacting reaction diffusion equations of the Fisher-Kolmogorov-Petrovskii-Piskunov ...

Abstract We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variations Bolker–Pacala–Dieckmann-Law model. Under assumption detailed balance, we provide rigorous generalized gradient structure, incorporating fluxes arising birth and death particles. Moreover, large limit, sh...