126 citations · 433 across the 47 of their papers we have counts for
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On systems of interacting populations influenced by multiplicative white noise
Nikolay K. Vitanov, Kaloyan N. Vitanov
We discuss a model of a system of interacting populations for the case when: (i) the growth rates and the coefficients of interaction among the populations depend on the population…
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…
Deep-water waves: On the nonlinear Schr{ö}dinger equation and its solutions
Nikolay K. Vitanov, Amin Chabchoub, Norbert Hoffmann
We present a brief discussion on the nonlinear Schr{ö}dinger equation for modeling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather so…