We study the behaviour of an infinite system of ordinary differential equations modelling the dynamics of a meta-population, a set of (discrete) populations subject to local catastrophes and connected via migration under a mean field rule; the local population dynamics follow a generalized logistic law. We find a threshold below which all the solutions tend to total extinction of the meta-popul...

Let f : M →M be a continuous map of a locally compact metric space. Models of interacting populations often have a closed invariant set ∂M that corresponds to the loss or extinction of one or more populations. The dynamics of f subject to bounded random perturbations for which ∂M is absorbing are studied. When these random perturbations are sufficiently small, almost sure absorbtion (i.e. extin...

In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...

This paper is concerned with integrating knowledge-based modeling or modeling from first principles, with data-driven or automated modeling of dynamic systems. The approach presented here includes methods for equation discovery: unlike mainstream system identification methods, which work under the assumption that the form of the equations is known, equation discovery systems explore a space of ...

Lattice Effects in Chaotic Population Dynamics Henson et al. (1) illustrated that populations consisting of integer numbers of individuals cannot be modeled as a continuum without paying attention to the discrepancy between the dynamics of discrete and continuous systems. The inverse of this problem (i.e., discrete models for continuous dynamical systems) has been well investigated since the wo...

For noncooperative games the Nash Certainty Equivalence (NCE), or Mean Field (MF) methodology developed in previous work provides decentralized strategies which asymptotically yield Nash equilibria. The NCE (MF) control laws use only the local information of each agent on its own state evolution and knowledge of its own dynamical parameters, while the behaviour of the mass is precomputable from...

Computational models for human decision making are typically based on the properties of bistable dynamical systems where each attractor represents a different decision. A limitation of these models is that they do not readily account for the fragilities of human decision making, such as “choking under pressure”, indecisiveness and the role of past experiences on current decision making. Here we...

Ito has applied the non-Walrasian regime switching methodology to the Solovian neoclassical growth model and discussed the occurrence of regimes of full employment, overemployment and underemployment and the different dynamical systems (to be patched up) these regimes give rise to. We shall show in this paper that nothing of this sort really characterizes Solovian growth with non market-clearin...

surprisingly steep size distribution, and global jolting by large impacts modifies the cratering record by frequently The history of Ida is constrained by its membership in the Koronis family, its satellite Dactyl, the record of impacts left on erasing smaller craters over the entire surface. Ida differs its surface, and other dynamical, morphological, and spectral from Gaspra in a number of fu...