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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)
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)
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)
Considered is a mathematical model for dynamics of an isolated population with non-overlapping generations. The individuals' birth process (emergence of new-generation individuals) is assumed to have a discrete nature (there exist some fixed time moments at which the new generations emerge), while the death process is assumed to be continuous. In addition,(More)
A mathematical model for the dynamics of functioning of an insect immune subsystem is considered. It is assumed that the interaction between hemocytes and bacteria corresponds to the Volterra principle of "pair interactions": the rate at which bacteria enter the system decreases in proportion to the rate of interaction of hemocytes with bacteria. In the(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)
Analysis of experimental trajectories in temperature-myographic BFB-training is considered. Analysis of point density on the phase plane (first of all, the states of extreme density points with respect to some basic thresholds) makes it possible to determine the main tendencies in the development of the training process. It also provides an opportunity to(More)
The authors propose new type of models with non-overlapping generations. It is assumed that during winter period individuals are not active (as, for example, in insect populations in boreal forests) and some portion of population dyes. However the portion of population, that survives, Q, indirectly depends on feeding conditions in previous growing season.(More)