The Approach to Equilibrium and the Steady-State Probability Distribution of Adult Numbers in Tribolium brevicornis
- 1 January 1982
- journal article
- research article
- Published by University of Chicago Press in The American Naturalist
- Vol. 119 (1) , 102-111
- https://doi.org/10.1086/283893
Abstract
The rate of population growth in adult numbers, A, for the flour beetle Tribolium was characterized by the mathematical model dA/dt = X A exp(-CA) -AD with the biological entities pupal productivity, X, adult inhibition of the immature life stages, C, and the death rate among the adults, D. A local stability analysis of the equilibrium A* = log(X/D)/C revealed that the eigenvalue .lambda. = D log(D/X) and A* was stable if X > D. The time it takes for a perturbation to decay was evaluated using the time constant .tau. = 1/This publication has 2 references indexed in Scilit:
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- Further experiments on insect competitionProceedings of the Royal Society of London. B. Biological Sciences, 1946