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pro vyhledávání: '"92D30"'
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
We consider a recently introduced model of mosquito dynamics that includes mating and progression through breeding, questing and egg-laying stages of mosquitoes using human and other vertebrate sources for blood meals. By exploiting a multiscale char
Externí odkaz:
http://arxiv.org/abs/2411.06551
Publikováno v:
Axioms 13 (2024), no. 11, Art. 772, 14pp
The Zika virus, known for its potential to induce neurological conditions such as microcephaly when transmitted vertically from infected mothers to infants, has sparked widespread concerns globally. Motivated by this, we propose an optimal control pr
Externí odkaz:
http://arxiv.org/abs/2411.05843
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simply by putting these two topics together. Firstly, we propose a definiti
Externí odkaz:
http://arxiv.org/abs/2411.11867
Autor:
Burns, Thomas F
Southeast Asia is a geopolitically and socio-economically significant region with unique challenges and opportunities. Intensifying progress in generative AI against a backdrop of existing health security threats makes applications of AI to mitigate
Externí odkaz:
http://arxiv.org/abs/2411.14435
This paper examines a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and constant total population. The infection mechanism in the model is described by a nonlinear term of the form $S^qI^p$
Externí odkaz:
http://arxiv.org/abs/2411.01041
This paper considers a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and varying total population. The interaction of the susceptible and infected people is describe by the nonlinear transmi
Externí odkaz:
http://arxiv.org/abs/2411.00582
The dynamics of wild-type (wt) RNA viruses and their defective viral genomes (DVGs) have been extensively studied both experimentally and theoretically. This research has paid special attention to the interference effects of DVGs on wt accumulation,
Externí odkaz:
http://arxiv.org/abs/2411.00070
We present a stochastic model for two successive SIR (Susceptible, Infectious, Recovered) epidemics in the same network structured population. Individuals infected during the first epidemic might have (partial) immunity for the second one. The first
Externí odkaz:
http://arxiv.org/abs/2410.20889
Autor:
Caga-anan, Randy L.
This study presents a neural network-enhanced approach to modeling disease spread dynamics over time and space. Neural networks are used to estimate time-varying parameters, with two calibration methods explored: Approximate Bayesian Computation (ABC
Externí odkaz:
http://arxiv.org/abs/2410.20592