Necessary and sufficient condition for a model insect population to go to extinction
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A necessary and sufficient condition on the parameters for a model population to become extinct is presented. The mathematical model describes an insect population with overlapping generations where the females are polyandrous and the males are subject to autosterilization. The relationship between the values of the parameters of the model and the time to extinction is illustrated.
KeywordsPopulation Model Female Population Immature Stage Population Number Insect Population
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- Staley, D. H., W. N. Cannon, Jr. and W. R. Holt. 1971. “A Mathematical Model of an Insect Population with Overlapping Generations where the Females are Polyandrous and the Males are Subject to Auto-Sterilization”.Ann. Entromol. Soc. Am.,62 (2), 325–330.Google Scholar