The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.Newman, M.E.J., S.H. Strogatz aamp; D.J. Watts (2001) Random graphs with arbitrary degree distributions and their applications, Phys. ... events delay differential system model for transmission of vancomycin-resistant enterococcus (VRE) in hospitals, J. Inv. Ill-Posed Problems 18, to appear. ... of the flour beetles, tribolium confusum Duvall and tribolium castaneum Herbst, Ecological Monographs, 18: 267-307.
|Title||:||Mathematical Models in Population Biology and Epidemiology|
|Author||:||Fred Brauer, Carlos Castillo-Chavez|
|Publisher||:||Springer Science & Business Media - 2011-11-09|