9781032736594 - Complex Population Dynamics: Theory and Data (Chapman & Hall/Crc Mathematical Biology) von Henson, Shandelle M.; Desharnais, Robert A.; Cushing, J. M.; Dennis, Bria... (3 Ergebnisse)

Zustand: New.

Zustand: New. Shandelle M. Henson is an emeritus Professor of Mathematics and Professor of Ecology at Andrews University. She uses dynamical systems theory and bifurcation theory to study nonlinear population dynamics. She also studies the effects of climate ch.

Buch. Zustand: Neu. Neuware - Complex Population Dynamics: Theory and Data brings together over two decades of research and reflection on experimental nonlinear population dynamics. The broad theme of the book is the interface of population data and mathematical models. The authors establish a cornerstone example of a low-dimensional mathematical population model for which quantitative predictions, often unexpected, were borne out in controlled and replicated experiments. Central messages include the importance of low-dimensional, mechanistic models that serve as testable hypotheses; the importance of model validation on independent data; the prediction of novel outcomes in response to parameter manipulation; the interaction of nonlinearity and stochasticity-and how stochasticity illuminates, rather than obscures, deterministic forces; abrupt transitions in dynamic regimes in response to interventions; and how chaotic dynamics are expressed in discrete-state, noisy population systems. The book explores nonlinear phenomena in experimental data, including equilibria, cycles, bifurcations, invariant loops, multiple attractors, resonance and attenuance, saddles, stable and unstable manifolds, basins of attraction, basin boundaries, and chaos, and shows how these dynamics manifest in real data in both time series and state space plots.