A minimal model coupling communicable and non-communicable diseases

التفاصيل البيبلوغرافية
العنوان: A minimal model coupling communicable and non-communicable diseases
المؤلفون: Marvá, M., Venturino, E., Vera, M. C.
سنة النشر: 2023
المجموعة: Mathematics
Quantitative Biology
مصطلحات موضوعية: Quantitative Biology - Populations and Evolution, Mathematics - Dynamical Systems
الوصف: This work presents a model combining the simplest communicable and non-communicable disease models. The latter is, by far, the leading cause of sickness and death in the World, and introduces basal heterogeneity in populations where communicable diseases evolve. The model can be interpreted as a risk-structured model, another way of accounting for population heterogeneity. Our results show that considering the non-communicable disease (in the end, heterogeneous populations) allows the communicable disease to become endemic even if the basic reproduction number is less than $1$. This feature is known as subcritical bifurcation. Furthermore, ignoring the non-communicable disease dynamics results in overestimating the reproduction number and, thus, giving wrong information about the actual number of infected individuals. We calculate sensitivity indices and derive interesting epidemic-control information.
Comment: 19 pages, 5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.15928
رقم الأكسشن: edsarx.2303.15928
قاعدة البيانات: arXiv