Complex Population Dynamics : Nonlinear Modeling In Ecology, Epidemiology And Genetics.

Intro -- Contents -- Preface -- References -- 1. Chaotic dynamics in food web systems -- 1.1. Introduction -- 1.2. Food web model formulation -- 1.3. Detecting and quantifying chaotic dynamics in model food webs -- 1.4. Dynamical patterns in food webs -- 1.5. Chaos in real food webs and conclusion -- References -- 2. Generalized models -- 2.1. Introduction -- 2.2. The basic idea of generalized models -- 2.3. Example: A general predator-prey system -- 2.4. Additional difficulties in complex models -- 2.5. A generalized spatial model -- 2.6. Local stability in small and intermediate models -- 2.7. Some results on global dynamics -- 2.8. Numerical investigation of complex networks -- 2.9. Discussion -- References -- 3. Dynamics of plant communities in drylands -- 3.1. Introduction -- 3.2. Model for dryland water-vegetation systems -- 3.3. Landscape states -- 3.3.1. Mapping the landscape states along aridity gradients -- 3.3.2. Coexistence of landscape states and state transitions -- 3.3.3. Landscape states and aridity classes -- 3.4. Plants as ecosystem engineers -- 3.4.1. Facilitation vs. resilience -- 3.4.2. Facilitation vs. competition -- 3.5. Species richness: Pattern formation aspects -- 3.5.1. The niche concept and the niche map -- 3.5.2. Landscape diversity -- 3.5.3. Environmental changes -- 3.6. Conclusion -- Acknowledgments -- References -- 4. Metapopulation dynamics and the evolution of dispersal -- 4.1. Introduction -- 4.1.1. What is a metapopulation? -- 4.1.2. Levins metapopulation model -- 4.2. Metapopulation ecology in different models -- 4.2.1. Local dynamics -- 4.2.2. Finite number of patches with the Ricker model -- 4.2.3. Infinite number of patches -- 4.2.3.1. Model presentation -- 4.2.3.2. Resident equilibrium -- 4.3. Adaptive dynamics -- 4.3.1. Invasion fitness -- 4.3.2. Pairwise Invasibility Plots (PIP).

4.4. Evolution of dispersal -- 4.4.1. Finite number of patches -- 4.4.1.1. Fitness -- 4.4.1.2. Fixed-point attractor -- 4.4.1.3. Cyclic orbits -- 4.4.2. Infinite number of patches -- 4.4.2.1. Invasion fitness for the mutant -- 4.4.2.2. Results -- 4.4.3. Local growth with an Allee effect can result in evolu- tionary suicide -- 4.4.3.1. Local population growth with an Allee effect -- 4.4.3.2. Allee effect in the metapopulation model -- 4.4.3.3. Bifurcation to evolutionary suicide -- 4.4.3.4. Theory of evolutionary suicide -- 4.5. Summary -- References -- 5. The scaling law of human travel - A message from -- References -- 6. Multiplicative processes in social systems -- 6.1. Introduction -- 6.2. Models for Zipf's law in language -- 6.3. City sizes and the distribution of languages -- 6.4. Family names -- 6.4.1. The effects of mortality -- 6.4.2. The distribution of given names -- 6.5. Conclusion -- Acknowledgments -- References -- 7. Criticality in epidemiology -- 7.1. Introduction -- 7.2. Simple epidemic models showing criticality -- 7.2.1. The SIS epidemic -- 7.2.2. Solution of the SIS system shows criticality -- 7.2.3. The spatial SIS epidemic -- 7.2.4. Dynamics for the spatial mean -- 7.2.5. Moment equations -- 7.2.6. Mean field behavior -- 7.3. Accidental pathogens: the meningococcus -- 7.3.1. Accidental pathogens -- 7.3.2. Modeling infection with accidental pathogens -- 7.3.3. The meningococcal disease model: SIRYX -- 7.3.4. Divergent fluctuations for vanishing pathogenicity: power law -- 7.3.5. Evolution towards criticality -- 7.4. Empiric data show fast epidemic response and long last- ing fluctuations -- 7.4.1. Modeling fast epidemic response finds long lasting fluctuations -- Acknowledgments -- References -- 8. Network models in epidemiology -- 8.1. Introduction -- 8.2. Network model settings -- 8.2.1. Network models as a research tool.

8.2.2. Epidemiologic settings -- 8.2.3. Epidemiologic questions -- 8.3. Describing networks: network metrics -- 8.3.1. Motivation -- 8.3.2. Metrics -- 8.3.3. Canonical network types -- 8.4. Epidemics on networks -- 8.4.1. Epidemic processes -- 8.4.2. Basic behavior of epidemic systems -- 8.4.2.1. Dynamics in the longer term -- 8.5. The impact of network structure on epidemic dynamics -- 8.5.1. Impact of heterogeneity -- 8.5.2. Impact of other network properties -- 8.6. Control of infection -- 8.7. Discussion -- Acknowledgements -- References -- 9. Genetic networks -- 9.1. Introduction -- 9.2. The concept of biological network -- 9.3. Structural properties of networks -- 9.4. Modeling gene regulatory dynamics -- 9.4.1. Dynamical models of gene -- 9.4.2. Well-stirred and spatial models -- 9.5. Structure and dynamics -- 9.5.1. Feedback circuits -- 9.5.2. Multistability -- 9.5.3. Homeostasis and oscillations -- 9.5.4. Engineering networks -- 9.6. Discussion -- 9.6.1. Availability of data -- 9.6.2. Need of integration -- References -- Author Index -- Subject Index.

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