Mathematical Biology
Stability refers to the tendency of a system to return to a state of equilibrium after a disturbance. In mathematical modeling, particularly within the realms of differential equations and discrete systems, stability is essential for understanding how systems behave over time and whether they will maintain or deviate from their initial conditions after perturbations. Analyzing stability helps identify whether solutions converge to equilibrium points or diverge, which is crucial for predicting system behavior in biological contexts.
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