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- P V Ivanchikov, L V Nedorezov
- 2011

Current publication is devoted to the construction of modification of well-known Beddington – Free – Lawton model of parasite – host system dynamics and its analysis. In basic model and in modified model there is one and the same assumption that under the determined values of sizes of interacting populations number of attacked hosts is determined by… (More)

- P V Ivanchikov, L V Nedorezov
- 2012

Current publication is devoted to the construction of modification of well-known May model of parasite – host system dynamics and its analysis. In basic model and in modified model there is one and the same assumption that under the determined values of sizes of interacting populations number of attacked hosts is determined by binomial law. In modified… (More)

Analysed are the data of larch bud moth (Zeiraphera diniana Gn.) fluctuations in Swiss Alps. The analysis applies simplest mathematical models of isolated population dynamics (in particular, Kostitzin model, Skellam model, the discrete logistic model, and some other ones), which include the minimal number of unknown parameters. The parameters have been… (More)

- L V Nedorezov
- 2012

In current publication the stochastic model of individual migrations within the limits of closed domain and processes of data collections using in entomology are considered. The behavior of data variation with respect to changing of population size is analyzed. In particular, it was shown that dependence of standard deviations has a non-linear character… (More)

- L V Nedorezov
- 2013

In current publication possible population dynamics regimes are analyzed using pre-model statistical method. Method was applied to well-known pine hawkmoth (Hyloicus pinastri L.) time series (Schwerdtfeger, 1944, 1968). Provided statistical analysis showed that observed dynamics of pine hawkmoth doesn't correspond to strong 2-, 3-,…, or 9-year cycles which… (More)

- L V Nedorezov
- 2011

In present paper there is the consideration of mathematical model of food plant (resource) – consumer (insect population) – pathogen system dynamics which is constructed as a system of ordinary differential equations. The dynamic regimes of model are analyzed and, in particular, with the help of numerical methods it is shown that trigger regimes (regimes… (More)

Analysis of deviations between trajectories of Lotka-Volterra model of competition between two species and G.F. Gause experimental time series on combined cultivation of Paramecium aurelia and Paramecium caudatum shows that with rather big probability there is no correspondence between model and experimental datasets. Testing of sets of deviations was… (More)

A stochastic model of migrations on a lattice and with discrete time is considered. It is assumed that space is homogenous with respect to its properties and during one time step every individual (independently of local population numbers) can migrate to nearest nodes of lattice with equal probabilities. It is also assumed that population size remains… (More)

- L V Nedorezov
- 2015

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… (More)

For approximation of some well-known time series of Paramecia caudatun population dynamics (G. F. Gause, The Struggle for Existence, 1934) Verhulst and Gompertz models were used. The parameters were estimated for each of the models in two different ways: with the least squares method (global fitting) and non-traditional approach (a method of extreme… (More)