Leader formation with mean-field birth and death models
نویسندگان
چکیده
منابع مشابه
Correcting mean-field approximations for birth-death-movement processes.
On the microscale, migration, proliferation and death are crucial in the development, homeostasis and repair of an organism; on the macroscale, such effects are important in the sustainability of a population in its environment. Dependent on the relative rates of migration, proliferation and death, spatial heterogeneity may arise within an initially uniform field; this leads to the formation of...
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Birth-Death Models in Macroevolution
Birth-death models, and their subsets—the pure birth and pure death models—have a long history of use for informing thinking about macroevolutionary patterns. Here we illustrate with examples the wide range of questions they have been used to address, including estimating and comparing rates of diversification of clades, investigating the “shapes” of clades, and some rather surprising uses such...
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This writeup is intended to be an early draft showing progress in analytical models of the spread of an infectious disease through a population with non-negligible partnership duration and demographic turnover. We assume that individuals in the population form long-lasting (but not permanent) partnerships with others. New individuals enter the population at a constant rate, while others leave. ...
متن کاملUniversality in random-walk models with birth and death.
Models of random walks are considered in which walkers are born at one location and die at all other locations with uniform death rate. Steady-state distributions of random walkers exhibit dimensionally dependent critical behavior as a function of the birth rate. Exact analytical results for a hyperspherical lattice yield a secondorder phase transition with a nontrivial critical exponent for al...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2019
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202519400025