On the use of strategies attached to subpopulations in the description of competition among different populations
T. Wieder. International Mathematical Forum8 (37):
1839 - 1851(2013)
Zusammenfassung
We propose a most simple model for the growth rates of interacting populations. Each population is composed of subpopulations and each subpopulation interacts with each other subpopulation according to a certain strategy. The interactions are represented as products of the subpopluation numbers attached with coefficients which represent certain strategies. The observable effect of a strategy is just the resulting growth rate.
Identification and activity are the strategies considered here and subpopulations are either susceptible or insusceptible to these strategies. By utilizing identification and activity each population competes for growth at the cost of the other populations.
An ordinary differential equation system follows as a simple quantitative model for the population growth. No actual forecast is calculated but we critically discuss the adequateness of the model compared to the sociological reality.
