126 citations · 161 across the 24 of their papers we have counts for
5 papers · 1 filter
Primacy analysis of the system of Bulgarian cities
Z. I. Dimitrova, M. Ausloos
We study the primacy in the Bulgarian urban system. Two groups of cities are studied: (i) the whole Bulgaria city system that contains about 250 cities and is studied in the time i…
On the dynamics of interacting populations in presence of state dependent fluctuations
Nikolay K. Vitanov, Zlatinka I. Dimitrova
We discuss several models of the dynamics of interacting populations. The models are constructed by nonlinear differential equations and have two sets of parameters: growth rates a…
Waves and distributions connected to systems of interacting populations
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
We discuss two cases that can be connected to the dynamics of interacting populations: (I.) density waves for the case or negligible random fluctuations of the populations densitie…
Discussion on exp-function method and modified method of simplest equation
Zlatinka I. Dimitrova
We discuss the relation between the modified method of simplest equation and the exp-function method. First on the basis of our experience from the application of the method of sim…
Integrability of differential equations with fluid mechanics application: from Painleve property to the method of simplest equation
Zlatinka I. Dimitrova, Kaloyan N. Vitanov
We present a brief overview of integrability of nonlinear ordinary and partial differential equations with a focus on the Painleve property: an ODE of second order has the Painleve…