Mathematical Ecology

The Table of Contents for the full book PDF is as follows:

• PREFACE

• PART I PHYSIOLOGICAL AND EVOLUTIONARY APPROACHES

  • The Von Bertalanffy Growth Rate as a Function of Physiological Paramters

  • Limits of Hyperbolic Growth and Selection in Molecular and Biological Populations

  • ESS in Habitat Selection in Structured Populations and in Ecological Communities (I)

  • Avoidable Mortality in Life-History Theory

• PART II PLANT AND PLANT-INSECT SYSTEMS

  • Models for Aggregating Populations

  • Plant-Herbivore Systems

  • Extraordinary Latitudinal Gradients in Species- Richness - One Explanation

  • Incomplete Data in Ecological Studies: the Problem of Truncation with Mixing

  • An Objective Method for the Determination of an Effective and Efficient Plot Size in Vegatational Sampling

• PART III AQUATIC SYSTEMS

  • Nutrient Recycling and System Resilience in a Model of an Experimental Aquatic System

  • Modeling and Management for Seawater Fishponds

  • Transient Spatial Patterns in Plankton Communities: Blooms and Travelling Waves of Phytoplankton in Estuaries

  • Biological Vortex Rings: Fertilization and Dispersal of Fish Eggs

  • Mathematical Modeling in a Sewage Outfall Design

• PART IV EPIDEMIOLOGY

  • Cross-Immunity in the Dynamics of Homogeneous and Heterogeneous Populations

  • Global Stability Results for a Multigroup SIR Epidemic Model

  • Dynamics of Parasitic Infections and of Sexually Transmitted Diseases

• PART V RESOURCE MANAGEMENT AND OTHER APPLICATIONS

  • Specialists and Generalists in the Fishery: Implications of an Ecological-Economic Analogy

  • Models for Cooperation and Conspiracy in Fisheries: Fishing Mortality Patterns

  • The Conservation and Maintenance of Valuable Resources: Optimal Expenditure Strategies

  • Discrete Nonlinear Harvesting Models and their Application to Forest Stand Management

  • Population Dynamics in Harshly Varying Environments: Evolutionary, Ecological and Medical Aspects

  • Mixture Approach to Clustering

• PART VI ANALYSIS OF POPULATION MODELS

  • The Allee Effect in Age-Structured Population Dynamics

  • Some More Results in Young Predation

  • Modeling and Estimation in Size Structured Population Models

  • On Ergodic Non-Homogeneous Finite First-Order Markov Chains and Their Demographic Applications

  • Density-Dependent Markov Branching Processes

  • Numerical Solution of a Population Model with Harvesting in a Random Environment

• PART VII ANALYSIS OF COMMUNITY MODELS

  • Models of Community Assembly and the Structure of Ecological Landscapes

  • Coexistence and Survival of Invading Species

  • Boundedness in Persistently Disturbed Systems Via the “Second Method” of Liapunov

  • Saturated Equilibria, Permanence, and Stability for Ecological Systems

  • Permanence of Some Four-Species Prey-Predator Systems with Lotka-Volterra Dynamics

  • Communities with Interference Competition: Direct and Indirect Effects of Predation on their Structures

  • A Connection Matrix Approach Illustrated by Means of a Predator-Prey Model Involving Group Defense

  • Oscillations in Segregation of Competing Populations

  • The Time Optimal Control Theory of Functional Differential Equations Applicable to Mathematical Ecology

  • Relative Persistence for Stochastic Population Models: Finite Sample Boundedness

• LIST OF CONTRIBUTORS