Lectures related to Lotka-Volterra Systems

Non-linear Systems in 2D: Predator-Prey Models

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Explores the Random Field Ising Model on random graphs, discussing belief propagation updates and population dynamics.

Mathematical Modeling in Chemistry and Biology

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Population Growth and Resource Consumption

Explores population growth models, resource consumption, and real-world case studies.

Dynamic Systems in Biology

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Phase Portraits and Predator-Prey Models

Explores phase portraits in 2D systems and the dynamics of predator-prey models.

Population Growth and Resource Consumption

Explores growth models, resource consumption, and population dynamics, including real-world applications.

Population Growth and Sustainability

Explores the historical evolution and determinants of world population growth, emphasizing its implications for sustainable development.

Existence and Uniqueness in Functional Analysis

Explores existence and uniqueness in functional analysis, linear systems, equilibrium stability, population growth equations, and bacterial population models.

Dynamic Systems: Formalism and Bases

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Inference Problems & Spin Glass Game

Covers inference problems related to the Spin Glass Game and the challenges of making mistakes with preb P.

Population Dynamics: Q(m) and Population Behavior

Explores Q(m) as a population behavior indicator and its implications.

Nonlinear Systems: Lotka-Volterra Model

Explores the dynamics of predator-prey populations using the Lotka-Volterra model in real-world scenarios.

Dynamical Systems: Equilibrium Points and Stability

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Qualitative Analysis of Growth Models and Gene Regulation

Explores growth models for populations and gene regulation analysis.

Population Dynamics: Lifetime vs. Death Rate Approach

Compares lifetime and death rate approaches in estimating population dynamics output flows.

Understanding Growth Rates: IPAT Equation

Explores growth rates in GDP per capita and the IPAT equation for analyzing environmental impact.

Urban Sustainability Assessment

Explores urban sustainability assessment, covering complexity, interdisciplinary analysis, key steps, population implications, and density challenges.

Phase Equilibria: Understanding Vapor-Liquid Separation

Provides an overview of vapor-liquid phase diagrams and their role in separation processes, focusing on phase equilibria and the Gibbs phase rule.

Introduction to Dynamical System

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.