carrying capacity
What carrying capacity means in Mathematics A-Level, as defined for WJEC.
Definitions of carrying capacity
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Reference: WJEC
A constraint K incorporated into a logistic model so that an unconstrained exponential population model no longer predicts an infinite population as t → ∞.
The value K that P approaches asymptotically in a bounded model such as P(t) = K/(1 + Ae^(−kt)).
Topics that use carrying capacity
- Exponentials and logarithms (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
- Overarching themes - Mathematical modelling (WJEC A-Level)
Related terms
- model refinement
- ambient temperature baseline
- combining logarithms
- contextual interpretation
- differential formulations
- domain restrictions
- evaluation of validity
- exponential growth
Using carrying capacity in the exam
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