An important concern in public health is what population group should be prioritised for vaccination. To this end, we present an epidemic model with arbitrary initial distributions for population susceptibility, and corresponding infectivity distributions. We consider four scenarios: first, a population with heterogeneous susceptibility with a uniform distribution, but homogeneous infectivity; ...

To mimic the striking capability of microbial culture for growth adaptation after the onset of the novel environmental conditions, a heterogeneous microbial population model in the chemostat with essential resources is proposed which considers adaptation by spontaneously phenotypeswitching between normally growing cells and persister cells having reduced growth rate. A basic reproductive number...

Population migration and immigration have greatly increased the spread and transmission of many infectious diseases at a regional, national and global scale. To investigate quantitatively and qualitatively the impact of migration and immigration on the transmission dynamics of infectious diseases, especially in heterogeneous host populations, we incorporate immigration/migration terms into all ...

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We describe a method for preparing highly enriched cultures of Drosophila myoblasts from a heterogeneous cell population derived from gastrulating embryos. Enriched cultures are prepared by plating this heterogeneous population of cells in medium from which much of the free calcium is chelated by ethylene glycol-bis(beta-aminoethyl ether)N,N,N',N'-tetraacetate (EGTA). Adhesion of myoblasts to t...

We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals to another. This is a natural framework to model, e.g., heterogeneity in susceptibility or infectivity of individuals. We review, along with the necessary the...

We develop analytical and computational models to study the conditions for the stability of a population consisting of agents with heterogeneous preferences. The analytical models that utilize an indirect evolutionary approach show that the ability to detect others’ types is critical for the evolution of reciprocal preferences. The computational models of this paper incorporate agents’ memories...

In this paper, the strengths of the checkpoint-orientated modeling in synchronizing cell population are highlighted. Through different experiments, this work shows how to synchronize a population of asynchronous and heterogeneous cells with our proposed model of cell cycle. We will show that the probabilistic modeling undertaken accurately reproduces the dynamics of cell population under specif...

The nature realizes stable biodiversity, even though it escapes naive theoretical predictions. Coexistence of competing species is known to be facilitated by, for example, structured populations, heterogeneous individuals, and heterogeneous environments, which in one way or another allow different species to survive in a segregated manner. In reality, individuals disperse and interact with each...

“Simple Models of Influenza Progression within a Heterogeneous Population” targets the important goal of engaging the operations research (OR) community to work on challenging and important problems in infectious disease management and control. Valuable points Larson makes include (1) the importance of developing models with a decision-context in mind, (2) the examination of system-level contro...