Mathematical theory for plant—herbivore systems

Cain, M. L. (1985), Random search by herbivorous insects: a simulation model. Ecology, 66(3), 876–888.

Caughley, G., Lawton, J. H. (1981) Plant herbivore systems. In: Theoretical Ecology. May, R. M. (ed.) 2nd edn. Sinauer Associates, Sunderland, pp. 132–166

Crawley, M. J. (1983) Herbivory: the dynamics of animal-plant interactions. Studies in Ecology 10. University of California Press, Berkeley

Denno, R. F., McLure, M. S. (eds.) (1983) Variable plants and herbivores in natural and managed systems. Academic Press, NewYork

Dyer, M. I. (1975) The effects of red-winged blackbirds (Agelaius phoeniceus, L) on biomass production of corn grain (Zea Mays, L). J. Appl. Ecol. 12, 719–726

Edelstein, L., Hadar, Y. (1983) A model for size distributions in submerged mycelial cultures. J. Theor. Biol. 105, 427–452

Edmunds, G. F., Alstad, D. N. (1978) Coevolution in insect herbivores and conifers. Science 199, 940–945

Fischlin, A., Baltensweiler, W. (1979) Systems analysis of the larch bud moth system. Part 1: the larch-larch bud moth relationship. In: Delucchi, V., Baltensweiler, W. (eds.) Dispersal of forest insects. IUFRO, Zuoz, Switzerland, pp. 273–289

Ghent, A. W. (1960) A study of group-feeding behavior of larvae of the jack pine sawfly Neodiprion pratti banksianae, Roh. Behavior 16, 110–148

Haukioja, E. (1981) On the role of plant defenses in the fluctuation of herbivore populations. Oikos 35, 202–213

Karlin, S., Taylor (1981) A second course in stochastic processes. Academic Press, New York

Kareiva, P. (1982) Experimental and mathematical analyses of herbivore movement: quantifying the influence of plant spacing and quality on foraging discrimination. Ecological Monographs 52, 261–282

Kraft, S. K., Denno, R. F. (1982) Feeding responses of adapted and non-adapted insects to the defensive properties of Baccharis halimifolia L. (Compositae). Oecologia 52, 156–163

Lapidus, L., Pinder, G. F. (1982) Numerical solution of partial differential equations in science and engineering. Wiley, New York

Lincoln, D. E., Newton, T. S., Ehrlich, P. R., Williams, K. S. (1982) Coevolution of the checkerspot butterfly Euphydryas chalcedona and its larval food plant Diplacus aurantiacus: larval response to protein and leaf resin. Oecologica 52, 216–223

Ludwig, D, Jones, D. D., Holling, C. S. (1978) Qualitative analysis of insect outbreak systems. The spruce budworm and forest. J. Animal Ecol. 46, 315–332.

Mattson, W. J., Addy, N. D. (1975) Phytophagus insects as regulators of forest primary production. Science 190, 515–522

May, R. M., Conway, G. R., Hassell, M. P., Southwood, T. R. E. (1974) Time delays, density dependence, and single-species oscillations. J. Animal Ecol. 43, 747–770

May, R. M. (1973) Stability and complexity in model ecosystems. Princeton University Press, New Jersey

McNaughton, S. J. (1983) Compensatory plant growth as a response to herbivory. Oikos 40, 329–336

Moran, N., Hamilton, W. D. (1980) Low nutritive quality as a defense against herbivores. J. Theoret. Biol. 86, 247–254

Myers, J. H., Post, B. J. (1981) Plant nitrogen and fluctuations of insect populations: a test with the Cinnabar Moth-Tansy Ragwort System. Oecologia 48, 151–156

Okubo, A. (1980) Diffusion and ecological problems: mathematical models. Springer, Berlin, Heidelberg, New York

Parker, M. A., Root, R. B. (1981) Insect herbivores limit habitat distribution of a native composite, Machaeranthera canescens. Ecology 62, 1390–1392

Patlak, C. S. (1953) Random walk with persistence and external bias. Bull. Math. Biophys. 15, pp. 311–338

Pimentel, D. (1976) World food crisis: energy and pests. Bulletin of the Entomological Society of America 22, 20–26

Rhoades, D. F. (1982) Herbivore population dynamics and plant chemistry. In: Variable plants and herbivores in natural and managed systems. Denno, R., McLure, M. (eds.). Academic Press, New York

Rubinow, S. I. (1968) A maturity-time representation for cell populations. Biophysical Journal 8, 1055–1073

Segel, L. A. (1980) The general balance law and the diffusion equation. In: Segel, L. A. (ed.). Mathematical models in molecular and cellular biology. Cambridge University Press, Cambridge, pp. 440–452

Strong, B. R., Lawton, J. H., Southwood, R. (1984) Insects on plants: community, patterns, mechanisms. Harvard University Press, Cambridge, MA

Thompson, R. W. (1982) Comments on size dispersion in living systems. J. Theor. Biol. 96, 87–94

Von Foerster (1959) In: Stohlman, F. (ed). The kinetics of cellular proliferation. Grune and Stratton, New York, pp. 382–407

Wang, Y., Gutierrez, A. P., Oster, G., Daxl, R. (1977) A population model for plant growth and development: coupling cotton-herbivore interaction. Canadian Entomologist 109, 1359–1374

Whitham, T. G. (1980) The theory of habitat selection: examined and extended using Pemphigus aphids. American Naturalist 115, 449–466

Whitham, T. G., Williams, A. G., Robinson, A. M. (1984) The variational principle: individual plants as temporal and spatial mosaics of resistence to rapidly evolving pests. In: Price, P. W., Slobodchikoff, C. N., Gaud, W. S. (eds.). A new ecology: novel approaches to interactive systems. Wiley, New York