Modelling social dynamics of a structured population

Dose-structured population dynamics.

Applied population dynamics modeling is relied upon with increasing frequency to quantify how human activities affect human and non-human populations. Current techniques include variously the population's spatial transport, age, size, and physiology, but typically not the life-histories of exposure to other important things occurring in the ambient environment, such as chemicals, heat, or radia...

Dynamics of a structured neuron population

We study the dynamics of assemblies of interacting neurons. For large fully connected networks, the dynamics of the system can be described by a partial differential equation reminiscent of agestructure models used in mathematical ecology, where the ”age” of a neuron represents the time elapsed since its last discharge. The nonlinearity arises from the connectivity J of the network. We prove so...

Modelling of a One-Sex Age-Structured Population Dynamics with Child Care

Abstract. The Sharpe-Lotka-Mckendrick-von Foerster one-sex population model and Fredrickson-Hoppensteadt-Staroverov two-sex population one are well known in mathematical biology. But they do not describe dynamics of populations with child care. In recent years some models were proposed to describe dynamics of the wild population with child care. Some of them are based on the notion of the densi...

Physiologically Structured Models of Rotifer Population Dynamics in a Chemostat

Current knowledge of the principles of population dynamics is unsatisfactory on both empirical and theoretical grounds. The main problems are a weak empirical base, overly simple models with but vague links to real systems, and little effective interplay between theory and experiment. We therefore believe there is a need for renewed emphasis on carefully controlled laboratory studies of populat...

A size-structured population dynamics model of Daphnia