What is the Equation For The Predator-Prey Model?
The relationship between a food source and its consumers is described by the pair of first-order nonlinear differential equations known as the Lotka-Volterra equations, or predator-prey equations. The equations are:
dx dt = ax – bxy dy dt = − cy + dxy
if the prey is represented by the variable x and the predators by the variable y.
Lotka-Volterra Model of Predator-Prey Relationship
Lotka-Volterra Model was made by Lotka (1925) and Volterra (1926). They made the first well-recognized models of predator-prey interactions. The Lotka-Volterra model of predator-prey dynamics is a mathematical framework used to study the interactions between populations of predators and their prey in ecological systems. It helps to understand the dynamics of population fluctuations and the stability of ecosystems over time. In this article, you can find Lotka-Volterra Model notes, and learn about Lotka-Volterra Model equations, assumptions, and more.
Table of Content
- What is Lotka-Volterra Model
- Basic Assumptions of Lotka-Volterra Model of Predator-Prey Relationship
- Key Components of Lotka-Volterra Model of Predator-Prey Relationship
- What is the Equation For The Predator-Prey Model?
- What is the Purpose of a Predator-Prey model?
- Limitations of Lotka-Volterra Model
- Conclusion – Lotka-Volterra Model of Predator-Prey Relationship
- FAQs on Lotka-Volterra Model of Predator-Prey Relationship