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Titlebook: Mathematics of Planet Earth; Protecting Our Plane Hans G. Kaper,Fred S. Roberts Book 2019 The Editor(s) (if applicable) and The Author(s),

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Mathematics of Malaria and Climate Changeathematical models describing the dynamics of malaria under various climate scenarios. The models fit into the Ross–Macdonald framework, with extensions to incorporate a fuller description of the . mosquito life cycle and the basic physics of aquatic anopheline microhabitats. Macdonald’s basic repro
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Data-Informed Modeling in the Health Sciencesce of this data torrent creates the pressing need to mine it for value, which in turn requires investment for the development of modeling and analysis tools. In view of this, dynamicists are presented with the terrific opportunity to enrich their discipline by supplying it with new tools, expanding
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Multistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environmh multistable ecosystems in variable environments. The first is related to the increased likelihood of extreme climate events at regional scales, such as droughts, floods, and heat waves, that may result in abrupt transitions to malfunctioning ecosystem states. The second concern is related to the d
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Measurement of Biodiversity: Richness and Evennessnents: richness—the number of species in the ecosystem—and evenness—the extent to which species are evenly distributed. This chapter studies attempts to make both concepts precise using mathematical approaches. It describes a number of evenness indices that have been widely used, studies axioms for
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The Mathematics of Extinction Across Scales: From Populations to the Biospherem of developing models that can scale predictions of extinction rates from populations to the level of a species, or even to an entire ecosystem. We review some of the most basic stochastic and analytical methods of calculating extinction risk at different scales, including population viability anal
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Quantitative Models for Infrastructure Restoration After Extreme Events: Network Optimization Meets ecision makers in the restoration process. The operation of an infrastructure system is modeled as a network flow problem, which can be used to assess the impact of the disruption on the services provided by the system. To restore the disrupted services, decision makers must schedule the repair oper
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