Temperature-mediated stability of the interaction between spider mites and predatory mites in orchards
The nonlinear behavior of the Holling-Tanner predatory-prey differential equation system, employed by R.M. May to illustrate the apparent robustness of Kolmogorov's Theorem when applied to such exploitation systems, is re-examined by means of the numerical bifurcation code AUTO 86 with model pa...
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| Veröffentlicht in: | Experimental & applied acarology 1988-10, Vol.5 (3), p.265-292 |
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| container_title | Experimental & applied acarology |
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| creator | Woolkind, D.J. (Washington State Univ., Pullman (USA). Dept. of Pure and Applied Mathematics) Collings, J.B Logan, J.A |
| description | The nonlinear behavior of the Holling-Tanner predatory-prey differential equation system, employed by R.M. May to illustrate the apparent robustness of Kolmogorov's Theorem when applied to such exploitation systems, is re-examined by means of the numerical bifurcation code AUTO 86 with model parameters chosen appropriately for a temperature-dependent mite interaction on fruit trees. The most significant result of this analysis is that there exists a temperature range wherein multiple stable states can occur, in direct violation of May's interpretation of this system's satisfaction of Kolmogorov's Theorem: namely, that linear stability predictions have global consequences. |
| doi_str_mv | 10.1007/bf02366098 |
| format | Article |
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The most significant result of this analysis is that there exists a temperature range wherein multiple stable states can occur, in direct violation of May's interpretation of this system's satisfaction of Kolmogorov's Theorem: namely, that linear stability predictions have global consequences.</description><subject>Animal and plant ecology</subject><subject>Animal, plant and microbial ecology</subject><subject>Animals</subject><subject>Biological and medical sciences</subject><subject>BIOLOGICAL CONTROL</subject><subject>Control</subject><subject>CONTROL BIOLOGICO</subject><subject>Demecology</subject><subject>DEPREDADORES</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Generalities</subject><subject>HUERTO FRUTAL</subject><subject>LUTTE BIOLOGIQUE</subject><subject>ORCHARDS</subject><subject>Phytopathology. Animal pests. Plant and forest protection</subject><subject>PREDATEUR</subject><subject>PREDATORS</subject><subject>Protozoa. 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The most significant result of this analysis is that there exists a temperature range wherein multiple stable states can occur, in direct violation of May's interpretation of this system's satisfaction of Kolmogorov's Theorem: namely, that linear stability predictions have global consequences.</abstract><cop>Dordrecht</cop><pub>Springer</pub><doi>10.1007/bf02366098</doi><tpages>28</tpages></addata></record> |
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| ispartof | Experimental & applied acarology, 1988-10, Vol.5 (3), p.265-292 |
| issn | 0168-8162 1572-9702 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Animal and plant ecology Animal, plant and microbial ecology Animals Biological and medical sciences BIOLOGICAL CONTROL Control CONTROL BIOLOGICO Demecology DEPREDADORES Fundamental and applied biological sciences. Psychology Generalities HUERTO FRUTAL LUTTE BIOLOGIQUE ORCHARDS Phytopathology. Animal pests. Plant and forest protection PREDATEUR PREDATORS Protozoa. Invertebrata Protozoa. Invertebrates TEMPERATURA TEMPERATURE TETRANYCHIDAE VERGER |
| title | Temperature-mediated stability of the interaction between spider mites and predatory mites in orchards |
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