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Titlebook: Mathematical Approaches to Problems in Resource Management and Epidemiology; Proceedings of a Con Carlos Castillo-Chavez,Simon A. Levin,Chr

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Mathematical Modeling in Plant Biology: Implications of Physiological Approaches for Resource Manageties involved in taking these upscale to deal with whole plant, crop and forest growth analyses. As the issues addressed by physiologists are often highly reductionist in nature, I point out the gap which has developed between our detailed knowledge of certain physiological processes and our general
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Stochastic Nonlinear Optimal Control of Populations: Computational Difficulties and Possible Solutioicult. We discuss the characteristics of population management problems arising in forestry, fisheries and pest management and how these characteristics affect the selection of optimal control algorithms and the associated computations. We compare the advantages and disadvantages of differential dyn
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Optimal Evolution of Tree-Age Distribution for a Tree Farm in each period, this being an increasing, concave function of the timber harvested. For a family of simple models, it is found that tree age distributions always evolve into either a ‘Faustmann uniform distribution’ or ‘Faustmann cycles’ where all trees are cut at the Faustmann age..Contrary to the
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Mathematical Models of Infectious Diseases in Multiple Populationsdels for this phenomenon, it is pointed out that in the model of Holt and Pickering (1985), where the disease-caused mortality is taken into account, all equilibria can be unstable simultaneously and a periodic solution can appear through Hopf bifurcation..Some infectious diseases can or have to tra
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Stability and Thresholds in Some Age-Structured Epidemicss and the catalytic curve models of epidemics is explicitly given. The possibility of using the catalytic curve to deduce information about the age-dependent contact rate and to identify the presence of vertical transmission is demonstrated. For certain age-dependent forms of the force of infection
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A Model for HIV Transmission and AIDSThey describe the infection process by interactions within and between risk groups such as homosexual men, bisexual men, female prostitutes, intravenous drug abusers and heterosexually active men and women. The progression to AIDS after infection is modeled by a sequence of stages. A modification of
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