The Consumer-Resource Relationship

1.3.2. Model simulations1.3.3. Historical notes and criticisms
 1.4. The Rosenzweig-MacArthur model
 1.4.1. The model
 1.4.2. Analysis and simulations
 1.4.3. Historical remarks and criticisms
 1.5. The \"ratio-dependent\" model
 1.5.1. Model analysis and simulations
 1.5.2. Historical notes and criticisms
 1.6. Conclusion
 2. The Consumer-Resource Model
 2.1. The general model
 2.1.1. General assumptions on the model
 2.1.2. Properties
 2.2. The \"resource-dependent\" model
 2.2.1. Development of the Rosenzweig-MacArthur model
 2.2.2. Analysis of the RMA model
 2.2.3. Variants of the RMA model. 2.3. The Arditi-Ginzburg \"ratio-dependent\" model2.3.1. Development of the \"RC-dependent\" and \"ratio-dependent\" model
 2.3.2. Analysis of RC and ratio-dependent models
 2.3.3. Simulations of the ratio-dependent model
 2.4. Historical and bibliographical remarks
 3. Competition
 3.1. Introduction
 3.2. The two-species competition Volterra model
 3.2.1. Population 2 wins the competition
 3.2.2. Population 1 wins the competition
 3.2.3. Coexistence of both populations
 3.2.4. Conditional exclusion
 3.2.5. Interference
 3.3. Competition and the Rosenzweig-MacArthur model. 3.3.1. Equilibria of the competition RMA model3.3.2. The exclusion theorem at equilibrium
 3.3.3. The exclusion theorem and the Volterra model
 3.4. Competition with RC and ratio-dependent models
 3.4.1. Characteristics at equilibrium
 3.4.2. Growth thresholds and equilibria of model [3.10]
 3.4.3. Stability of coexistence equilibria
 3.4.4. Criticism of RC and ratio-dependent competition models
 3.4.5. Simulations
 3.5. Coexistence through periodic solutions
 3.5.1. Self-oscillating pair (x, y)
 3.5.2. Adding a competitor
 3.6. Historical and bibliographical remarks.