Exponential population model(brief), logistic model
Qualitative analysis of logistic equation
A Two-Age Group Model and Delayed Recruitment
Constant Effort Harvesting Model
Models for interacting species: Lotka Voltera system
Models for growth of bacteria : The Chemostat
Qualitative Behaviour of Solutions of Linear Systems: Theorem4
Qualitative Behaviour of Solutions of Linear Systems: Theorem4
Summary of Theorem4 (6 Cases), Theorem5
Phase portrait of a Nonlinear system, Separatrics, Unit4 :Species in Competition
Limit Cycle, Poincare Bendixson Theorem
The Nature of Interactions Between Species
Example: A Predator and Two Competing Prey
Example: A Predator and Two Competing Prey(Cont.), Two Predators Competing For Prey
Harvesting of Species in Competition
Example, Harvesting of Predator Prey Systems
Optimization of Harvesting Returns
Optimization of Harvesting Returns (Cont.)
Linear Discrete Models (Part-01)
Linear Discrete Models (Part-02)
Linear Discrete Models (Part-03)
Linear Discrete Models (Part-04)
Model with Residence and Travel
Solution by Separation of Variables (Part-01)
Solution by Separation of Variables (Part-02)
Example, Solution in Unbounded Region
Examples, Introduction of Reaction-Diffusion Equation
Linear Reaction Diffusion Equation
Nonlinear Reaction Diffusion Equation, Travelling Wave Solution (Part-01)
Travelling Wave Solution (Part-02)
Two Species Interaction (Part-01)
Two Species Interaction (Part-02)
Influenza Model, Quarantine Isolated Model
General Infection Period (Part-01)
General Infection Period (Part-02)
Vaccination Model, Next Generation Matrix (Part-01)
Next Generation Matrix (Part-01)
Next generation Matrix Examples (Part-01)
Next generation Matrix Example (Part-02)
Model for Disease with No Immunity
The SIR Model with Birth and Death
Some Applications, Age at Infection
Inter Epidemic Period, Temporary Immunity (Part-01)
Disease as Population Control (Part-01)
Disease as Population Control (Part-02)