Zobrazeno 1 - 10
of 8 294
pro vyhledávání: '"92d25"'
Autor:
Thieme, Horst R
For a heterogeneous host population, the basic reproduction number of an infectious disease, $\cR_0$, is defined as the spectral radius of the next generation operator (NGO). The threshold properties of the basic reproduction number are typically est
Externí odkaz:
http://arxiv.org/abs/2411.09778
In this survey, we explore the connections between two areas of probability: percolation theory and population genetic models. Our first goal is to highlight a construction on Galton-Watson trees, which has been described in two different ways: Berno
Externí odkaz:
http://arxiv.org/abs/2411.09621
Autor:
Zhiyanov, A. P., Shklyaev, A. V.
We consider a critical bisexual branching process in a random environment generated by independent and identically distributed random variables. Assuming that the process starts with a large number of pairs $N$, we prove that its extinction time is o
Externí odkaz:
http://arxiv.org/abs/2411.07737
Background: Mathematical models based on ordinary differential equations (ODEs) are essential tools across various scientific disciplines, including biology, ecology, and healthcare informatics. They are used to simulate complex dynamic systems and i
Externí odkaz:
http://arxiv.org/abs/2411.05371
Autor:
Duan, Xiaochen, Pilyugin, Sergei S.
In many real life applications, a continuous culture bioreactor may cease to function properly due to bioclogging which is typically caused by the microbial overgrowth. This is a problem that has been largely overlooked in the chemostat modeling lite
Externí odkaz:
http://arxiv.org/abs/2411.05213
Autor:
Browning, Alexander P, Hamis, Sara
Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a discrete
Externí odkaz:
http://arxiv.org/abs/2411.03166
This paper investigates, via methods from the theory of probability on trees, critical phenomena in stochastic cascade models of Yule type, and applies these methods to the problem of uniqueness and nonuniqueness of solutions of particular mean flow
Externí odkaz:
http://arxiv.org/abs/2411.00629
We explore Fermi's Paradox via a system of differential equations and using simulations of dispersal and interactions between competing interplanetary civilizations. To quantify the resources and potentials of these worlds, three different state vari
Externí odkaz:
http://arxiv.org/abs/2411.00061
To understand the impact of vaccination, we consider a SIVR (susceptible-infected-vaccinated-recovered) model which combines impulsive vaccination into the classical SIR model. The final size is firstly defined and estimated, and then the peak value
Externí odkaz:
http://arxiv.org/abs/2410.20456
Autor:
Choi, Wonhyung, Ahn, Inkyung
Understanding species dynamics in heterogeneous environments is essential for ecosystem studies. Traditional models assumed homogeneous habitats, but recent approaches include spatial and temporal variability, highlighting species migration. We adopt
Externí odkaz:
http://arxiv.org/abs/2410.18621