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We consider age-structured models with an imposed refractory period between births. These models can be used to formulate alternative population control strategies to Chinas one-child policy. By allowing any number of births, but with an imposed delay between births, we show how the total population can be decreased and how a relatively younger age distribution generated. This delay represents a more continuous form of population management for which the one-child policy is a limiting case. Such a policy approach could be more easily accepted by society. We also propose alternative birth rate functions that might result from a societal response to imposed refractory periods. Our numerical and asymptotic analyses provides an initial framework for studying demographics and how social dynamics influences population structure.
The incubation period of a disease is the time between an initiating pathologic event and the onset of symptoms. For typhoid fever, polio, measles, leukemia and many other diseases, the incubation period is highly variable. Some affected people take
Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is shown that ran
We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitats. We consider symmetric two-player games with two evolutionarily stab
Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts of evoluti
We use a stochastic birth-death model for a population of cells to estimate the normal tissue complication probability (NTCP) under a particular radiotherapy protocol. We specifically allow for interaction between cells, via a nonlinear logistic grow