Lyapunov functions 4 Animals 2 Birth and death process 2 Birth-and-death process 2 Deterministic dynamical systems 2 Deterministic dynamics 2 Deterministic limit 2 Dynamical systems 2 Eigenvalues and eigenfunctions 2 Fluid limit 2 Fluid limits 2 Geometric interpretation 2 Humans 2 Instability condition 2 Markov Chains 2 Mathematics 2 Models, Statistical 2 Piece-wise constants 2 Population Dynamics 2 Population dynamics 2 Positive recurrence 2 Random processes 2 Stiffness matrix 2 Stochastic 2 Stochastic Processes 2 Stochastic instability 2 System stability 2 Transience 2 article 2 eigenvalue 2