Optimal Control of Gypsy Moth Populations
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This study investigates an optimal strategy for the cost effective control of gypsy moth populations. Gypsy moth populations cycle between low sparse numbers to high outbreak levels and it is during the outbreak levels that the moths cause extensive damage to plant foliage which can lead to deforestation. Deforestation can result in significant economic damage to infested areas, and consequently, there have been many efforts to control moth populations. One effective method of control is the use of the biocontrol agent, Gypchek, but its production is costly. We develop a mathematical model which combines population dynamics and optimal control of the moth population to explore strategies by which the total cost of the gypsy moth problem (economic damage and cost of Gypchek) can be minimized.
KeywordsOptimal control Gypsy moth Discrete model Biocontrol Gypchek
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- Anderson, J.F., Kaya, H.K. (Eds.) 1976. Perspectives in forest entomology. In: Insect Pathogens in Natural and Microbial Control of Forest Defoliators, pp. 251–263. Academic, New York. Google Scholar
- Bess, H.A., Spurr, S.H., Littlefield, E.W., 1947. Forest site conditions and the gypsy moth. Harv. For. Bull. 22, 56. Google Scholar
- Campbell, R.W., 1969. Studies on gypsy moth population dynamics. For. Insect. Popul. Dyn. USDA For. Serv. Res. Pap. 125, 29–34. Google Scholar
- Campbell, R.W., 1975. The bimodality of gypsy moth porthetria dispar (l.) populations. J. NY Entomol. Soc. Am. 183, 287–288. Google Scholar
- Campbell, R.W., 1978. Numerical bimodality among North American gypsy moth populations. Environ. Entomol. 7, 641–646. Google Scholar
- Campbell, R.W., 1981. The gypsy moth. Technical report, USDA. Google Scholar
- Campbell, R.W., Sloan, R.J., 1977. Forest stand responses to defoliation by the gypsy moth. For. Sci. Monogr. 19, 1–34. Google Scholar
- Campbell, R.W., Sloan, R.J., 1978. Natural maintenance and decline of gypsy moth outbreaks. Environ. Entomol. 7, 389–395. Google Scholar
- Edel’man, N.M., 1963. Effect of the biochemical composition of food on growth changes in the physiological conditions of insects. questions of ecology. Vys. Shkola 7, 211–213. Google Scholar
- Elkington, J.S., Leibhold, A.M., 1990. Population dynamics of the gypsy moth in North America. Annu. Rev. Entomol. 35, 571–596. Google Scholar
- USDA Facesheet, April 2003. Usda facesheet. USDA Facesheet. Google Scholar
- Hough, J.A., Pimental, D., 1978. Influence of host foliage on development, survival, and fecundity of gypsy moth. Environ. Entomol. 7, 97–102. Google Scholar
- Keating, S.T., Yendol, W.G., 1987. Influence of selected host plants on gypsy moth larval mortality caused by a baculovirus. Environ. Entomol. 16, 459–462. Google Scholar
- Keating, S.T., Yendol, W.G., Schultz, J.C., 1988. Relationship between susceptibility of gypsy moth (lepidoptera: Lymantriidae) to a baculovirus and host-plant foliage constituents. Environ. Entomol. 17, 952–958. Google Scholar
- Liebhold, S., 2003. Gypchek—the gypsy moth nucleopolyhedrosis virus product [online]. USDA Forest Service, available from: http://www.fs.fed.us/ne/morgantown/4557/gmoth/manag/gypchek.html, accessed 12/01/06.
- Nicholson, A.J., Bailey, V.A., 1935. The balance of animal populations. Proc. Zool. Soc. Lond. 3, 551–598. Google Scholar
- Schultz, J.C., Foster, M.A., Montgomery, M.E., 1990. Host-plant-mediated impacts of baculovirus on gypsy moth populations. In: Population Dynamics of Forest Insects. Intercept Ltd, Andover. Google Scholar
- Webb, R.E., White, G.B., Sukontarak, T., Podgwaite, J.D., Schumacher, D., Schumacher, D., Diss, A., Reardon, R.C., 2004. Biological efficacy of gypchek against a low-density leading edge gypsy moth population. Nort. J. Appl. For. 21(3), 144–149. Google Scholar
- Woods, S.A., Elkinton, J.S., Podgewaite, J.D., 1989. Acquisition of nuclear polyhedrosis virus from tree stems by newly emerged gypsy moth (lepidoptera: Lymantriidae) larvae. Environ. Entomol. 18, 298–301. Google Scholar