Quantitative Ecological Theory: An Introduction To Basic Models - Brossura

Rose, M.R.

Brossura

ISBN 10: 0709922892 ISBN 13: 9780709922896

Casa editrice: Springer, 2013

Riassunto

This text is concerned with theoretical ecology and the mathematical basis of ecological theory. It examines the construction and analysis of models prevalent in current theory. These include a priori models, simulation, phenomenological models and inductive models. The book is not intended as a general text but more as a manual, with relevant background information, on how to construct and develop models in a mathematical way. Of the major theoretical "issues" in ecology, the problem of ecosystem stability, co-existence of competitors, chaos, predator-prey cycles, and multiple stable-states are all considered as they arise naturally from discussion of particular models. Some basic grounding in ecology, population biology and mathematics is assumed on the part of readers, who will be mainly students taking advanced courses in ecology.

Su questo libro

Contenuti

Theoretical Models in Ecology.- Models Covered Here.- 1. Population Growth.- 1.1 Linear Continuous-Time Models.- The “Malthusian” or Density-Independent Model.- The Logistic Model.- 1.2 Nonlinear Continuous-Time Models.- General Autonomous Models.- Density-Independent Nonautonomous Models.- 1.3 Discrete-Time Models.- Density-Independent Model.- Discrete-Time Logistic Model.- General Autonomous Models.- Density-Independent Nonautonomous Models.- Time-Lag Models.- 1.4 Models with Age-Structure.- Discrete-Time: The Leslie Matrix.- Continuous-Time Models.- 1.5 Exercises.- 2. Competition.- 2.1 Lotka-Volterra Models: Special Cases.- No Carrying Capacities.- One Carrying Capacity.- 2.2 Classical Lotka-Volterra Model.- 2.3 General Continuous-Time Models.- 2.4 Discrete-Time Models.- General Two-Species Models.- The Hassell-Comins Model.- 2.5 Symbiosis.- Lotka-Volterra Models.- General Continuous-Time Models.- 2.6 Exercises.- 3. Predation.- 3.1 Lotka-Volterra Models.- Original Lotka-Volterra Model.- An Alternative Lotka-Volterra Model.- 3.2 Generalized Predator-Prey Models.- 3.3 Discrete-Time Models.- Lotka-Volterra Model without Density-Dependence.- Lotka-Volterra Model with Density-Dependence.- Other Discrete-Time Predation Models.- 3.4 Parasitoid Models.- A General Model.- Classical Nicholson-Bailey Model.- Nicholson-Bailey Model with Density-Dependence.- Generalized Nicholson-Bailey Model.- 3.5 Exercises.- 4. Simple Ecosystems.- 4.1 Two Predators and One Prey.- Continuous-Time Models.- Discrete-Time Models: Two Parasitoids.- 4.2 One Predator and Two Prey.- Continuous-Time Models.- Discrete-Time Models: Polyphagous Parasitoids.- 4.3 Three-Species Food Chains.- Continuous-Time Models.- Discrete-Time Models: Parasitoid-Hyperparasitoid Systems.- 4.4 Exercises.- 5. Complex Ecosystems.- 5.1 Local Equilibrium Stability.- Time-Structure and Local Asymptotic Stability.- Arbitrary Complexity and Local Stability.- Ecosystem Model Structure and Local Stability.- 5.2 Global Complex Ecosystem Dynamics.- 6. Migration.- 6.1 Population Growth with Migration.- Recipient Peripheral Populations.- Migrant Pool Model.- Two Habitats.- 6.2 Competition with Migration.- Recipient Peripheral Populations.- Migrant Pool Model.- Two Habitats.- 6.3 Predation with Migration.- Recipient Peripheral Populations.- Migrant Pool Model.- Two Habitats.- 6.4 Ecosystems with Migration.- 6.5 Exercises.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 0709922892
• ISBN 13: 9780709922896
• Rilegatura: Copertina flessibile
• Numero di pagine: 220
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania