The study analyzed the role and significance of Ukrainian national idea (UNI) ideology for establishment independence, in particular, spiritual victory Ukrainians Russian-Ukrainian war. UNI is considered not only as a response to socio-political economic problems nation’s development, but also multi-aspect – existential, metaphysical, global challenge. In order resolve this complex problems, fu...

An epidemic model with relapse and spatial diffusion is studied. Such a model is appropriate for tuberculosis, including bovine tuberculosis in cattle and wildlife, and for herpes. By using the linearized method, the local stability of each of feasible steady states to this model is investigated. It is proven that if the basic reproduction number is less than unity, the diseasefree steady state...

We introduce an integral structure in orbifold quantum cohomology associated to the K-group and the b Γ-class. In the case of compact toric orbifolds, we show that this integral structure matches with the natural integral structure for the Landau-Ginzburg model under mirror symmetry. By assuming the existence of an integral structure, we give a natural explanation for the specialization to a ro...

The existence of a series of problems in transportation management of public and personal vehicles causes to consider intelligent transportation systems. Hence, here we investigate to introduce and the performance of intelligent transportation system ITS which is among new technologies in information technology and at last the importance and necessity of lack of delay in data and informat...

The existence of a series of problems in transportation management of public and personal vehicles causes to consider intelligent transportation systems. Hence, here we investigate to introduce and the performance of intelligent transportation system ITS which is among new technologies in information technology and at last the importance and necessity of lack of delay in data and informat...