Periodic Matrix Population Models: Growth Rate, Basic Reproduction Number, and Entropy
نویسندگان
چکیده
منابع مشابه
Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population.
The main purpose of this paper is to give an approximate formula involving two terms for the basic reproduction number R(0) of a vector-borne disease when the vector population has small seasonal fluctuations of the form p(t) = p(0) (1+epsilon cos(omegat - phi)) with epsilon << 1. The first term is similar to the case of a constant vector population p but with p replaced by the average vector p...
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Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the transmission of Dengue disease is presented. It consists of eight mutually exclusive compartments representing the human and vector dynamics. It also includes a con...
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Although age-related heterogeneity of infection has been addressed in various epidemic models assuming a demographically stationary population, only a few studies have explicitly dealt with age-specific patterns of transmission in growing or decreasing population. To discuss the threshold principle realistically, the present study investigates an age-durationstructured SIR epidemic model assumi...
متن کاملFurther Notes on the Basic Reproduction Number
The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ordinary differential equation model of dis...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2009
ISSN: 0092-8240,1522-9602
DOI: 10.1007/s11538-009-9426-6