Model for genetic control of Heliothis virescens

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Abstract
A model was developed which corrects and extends an earlier one proposed for the control of the tobacco budworm, Heliothis virescens (F.), through hybrid male sterility. Population suppression is effected through the release into natural populations of the backcross progeny of a hybrid between H. virescens and a related species. Thereafter, the system perpetuates itself in nature through continual backcrossing of the fertile backcross females to native H. virescens males. When the proportion of backcross hybrid females in the total population is large enough to draw off the insemination potential of the native males, the native females fail to replace themselves. The present model demonstrated that the ratio of released backcross hybrids to natural H. virescens remains constant in a closed population. Furthermore it was shown that the release ratio necessary to achieve extinction of a closed population is related to the number of females that a male can inseminate and to the population growth rate. Release ratios required to slow natural population growth and to lessen the impact damage of releases on crop plants were also examined. Effects of selection against the backcross females on the predictions of the model were explored.

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