Protected: Transfer report – Matthew Asker
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Descriptive & Normative Models of Collective Behaviour workshop
This workshop will bring together recent developments in collective behaviour from theoretical and empirical research. We hope to explore common ground between data-driven approaches utilising sensor technology and statistical analysis, and the latest mathematical & … Read more
A modified next reaction method for simulating chemical systems with time dependent propensities and delays
Abstract: Chemical reaction systems with a low to moderate number of molecules are typically modeled as discrete jump Markov processes. These systems are oftentimes simulated with methods that produce statistically exact sample paths such as … Read more
Efficient Exact Stochastic Simulation of Chemical Systems with Many Species and Many Channels
Abstract: There are two fundamental ways to view coupled systems of chemical equations: as continuous, represented by differential equations whose variables are concentrations, or as discrete, represented by stochastic processes whose variables are numbers of … Read more
Exclusion of the fittest predicts microbial community diversity in fluctuating environments
Abstract: Microorganisms live in environments that inevitably fluctuate between mild and harsh conditions. As harsh conditions may cause extinctions, the rate at which fluctuations occur can shape microbial communities and their diversity, but we still … Read more
Moran dynamics in spatially heterogeneous environments with periodic fitness distribution
Abstract: Local environmental interactions are a major factor in determining the success of a new mutant in structured populations. Spatial variations of concentration of a resource change the fitness of competing strategies locally and thus … Read more
Periodic temporal environmental variations induce coexistence in resource competition models
Abstract: Natural ecosystems, in particular on the microbial scale, are inhabited by a large number of species. The population size of each species is affected by interactions of individuals with each other and by spatial … Read more
Population Dynamics in a Changing Environment: Random versus Periodic Switching
Abstract: Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a timevarying binary environment … Read more
Intrinsic noise in systems with switching environments
Abstract: We study individual-based dynamics in finite populations, subject to randomly switching environmental conditions. These are inspired by models in which genes transition between on and off states, regulating underlying protein dynamics. Similarly, switches between … Read more