Abstract
The causes of the erratic seasonal variation in the sizes of some insect pest populations are largely unknown, but they are believed to be associated, at least in part, with environmental change. The attendant lack of predictability makes the control of insect pests difficult, resulting in substantial losses. In a model simulation study, using parameter values based on field data, it is shown that under certain conditions a population experiencing regular periodic cycles (therefore being predictable) can become chaotic (i.e. erratic) in the absence of changes in environmental factors. Moreover, after a time the population returns to regular stable cycles. The process recurs and represents an intrinsic characteristic of the system. This phenomenon, known as intermittency, occurs when certain variables have values that place the system near the transition point between order and chaos. This discovery may help explain the erratic behaviour of some insect pest population and aid in developing better biological control measures.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 231-234 |
| Number of pages | 4 |
| Journal | Journal of Theoretical Biology |
| Volume | 175 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Agricultural and Biological Sciences(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
- Medicine(all)
Cite this
Intermittent transition between order and chaos in an insect pest population. / Cavalieri, Liebe F.; Kocak, Huseyin.
In: Journal of Theoretical Biology, Vol. 175, No. 2, 1995, p. 231-234.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Intermittent transition between order and chaos in an insect pest population
AU - Cavalieri, Liebe F.
AU - Kocak, Huseyin
PY - 1995
Y1 - 1995
N2 - The causes of the erratic seasonal variation in the sizes of some insect pest populations are largely unknown, but they are believed to be associated, at least in part, with environmental change. The attendant lack of predictability makes the control of insect pests difficult, resulting in substantial losses. In a model simulation study, using parameter values based on field data, it is shown that under certain conditions a population experiencing regular periodic cycles (therefore being predictable) can become chaotic (i.e. erratic) in the absence of changes in environmental factors. Moreover, after a time the population returns to regular stable cycles. The process recurs and represents an intrinsic characteristic of the system. This phenomenon, known as intermittency, occurs when certain variables have values that place the system near the transition point between order and chaos. This discovery may help explain the erratic behaviour of some insect pest population and aid in developing better biological control measures.
AB - The causes of the erratic seasonal variation in the sizes of some insect pest populations are largely unknown, but they are believed to be associated, at least in part, with environmental change. The attendant lack of predictability makes the control of insect pests difficult, resulting in substantial losses. In a model simulation study, using parameter values based on field data, it is shown that under certain conditions a population experiencing regular periodic cycles (therefore being predictable) can become chaotic (i.e. erratic) in the absence of changes in environmental factors. Moreover, after a time the population returns to regular stable cycles. The process recurs and represents an intrinsic characteristic of the system. This phenomenon, known as intermittency, occurs when certain variables have values that place the system near the transition point between order and chaos. This discovery may help explain the erratic behaviour of some insect pest population and aid in developing better biological control measures.
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UR - http://www.scopus.com/inward/citedby.url?scp=0029097952&partnerID=8YFLogxK
U2 - 10.1006/jtbi.1995.0135
DO - 10.1006/jtbi.1995.0135
M3 - Article
AN - SCOPUS:0029097952
VL - 175
SP - 231
EP - 234
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 2
ER -