ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Approaches to study of multistability in spatio-temporal dynamics of two-age population

Purpose of the work is to study spatio-temporal dynamics of limited two-age structured populations that populate a 2D habitat and capable of long-range displacement of individuals. We proposed the model that is the network of nonlocally coupled nonlinear maps with nonlinear coupling function. Conditions for the emergence of different types of heterogeneous spatial distribution, combining coherent and incoherent regimes in different sites and solitary states are studied. Methods.

Stability of a stationary critical state in a model of cluster formation

The paper considers a self-organized critical process of clasterization. The stability of the equilibrium for infinite system of the differential equations approximating this process is proved.