Titlebook: Mathematics for Life Science and Medicine; Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Book 2007 Springer-Verlag Berlin Heidelberg 2007 Epid

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Basic Knowledge and Developing Tendencies in Epidemic Dynamics, played an important role on investigating the transmission of infectious diseases, predicting the developing tendencies, estimating the key parameters from data published by health departments, understanding the transmission characteristics, and implementing the measures for prevention and control.

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Delayed SIR Epidemic Models for Vector Diseases?,n via a vector. Based on the Hethcote model and Cooke’s SIS model with a time delay, we introduce SIR models with time delays and a constant population size. Further, the SIR models are modified in such a way that the death rates for three population classes are different. Finally, the models are re

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Pathogen Competition and Coexistence and the Evolution of Virulence,ximal basic replacement ratio if, in the absence of the disease, the host population is exclusively limited in its growth by a nonlinear population birth rate. For mass action incidence, the principle of R0 maximization can be extended to exponentially growing populations, if the exponential growth

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Directional Evolution of Virus Within a Host Under Immune Selection, an infected host. They form a heterogeneous quasispecies and change their property following selection pressures. We analyze models for the evolutionary dynamics of viral or other infectious agents within a host, and study how the invasion of a new strain affects the composition and diversity of th

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Mathematics for Life Science and Medicine978-3-540-34426-1Series ISSN 1618-7210 Series E-ISSN 2197-5647

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https://doi.org/10.1007/978-3-540-34426-1Epidemic models; Viral evolution; biology; cancer; diseases; dynamical systems; dynamics; immune system; inf

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