This paper investigates and analyzes the behaviour of a herbivore-plankton continuous model. Two of the equilibrium points are solved analytically while the third equilibrium point is solved with the help of Nullclines phase portrait.
The model’s equilibrium points stability and their ecological implications are analyzed and computer simulations are used to exhibit the characteristics of the model.
Table of Contents
- Abstract
- Introduction
- Mathematical model
- Solving for the equilibrium points
- Investigating the stability of the equilibrium points
- Computer simulations and the qualitative analysis...
- CONCLUSIONS
- REFERENCES
Objectives and Key Themes
This paper aims to investigate and analyze the dynamics of a continuous herbivore-plankton model. It focuses on solving for the equilibrium points, analyzing their stability, and exploring the ecological implications of these findings. Computer simulations are employed to demonstrate the model's characteristics.
- Equilibrium Point Analysis
- Stability of Equilibrium Points
- Ecological Implications of Model Results
- Herbivore-Plankton Interactions
- Population Dynamics Modeling
Chapter Summaries
The introduction provides context for the study of population growth and its importance in ecological research. It highlights the use of mathematical modeling and computer simulations to predict complex biological phenomena. The paper then focuses on two-species population models, particularly the Lotka-Volterra predator-prey model, and introduces the herbivore-plankton interaction model as a more precise representation of real-world dynamics. The chapter on the mathematical model presents the equations governing the herbivore-plankton interaction, defining key parameters and their significance. The subsequent section focuses on solving for the equilibrium points of the model, providing a foundation for analyzing the stability of these points and drawing ecological conclusions.
Keywords
The main keywords and focus topics of this paper include equilibrium points, stability, herbivore-plankton model, growth rate, population dynamics, ecological modeling, and computer simulations.
- Quote paper
- Kingsley Eshun Gyekye (Author), 2016, Behaviour of a herbivore-plankton continuous interaction model, Munich, GRIN Verlag, https://www.hausarbeiten.de/document/323584
