+ Site Statistics
+ Resolve Accession
+ Subscribe to Site Feeds
EurekaMag Most Shared ContentMost Shared
EurekaMag PDF Full Text ContentPDF Full Text
+ PDF Full Text
Request PDF Full TextRequest PDF Full Text
Submit PDF Full TextSubmit PDF Full Text
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter
Follow on Google+Follow on Google+
Follow on LinkedInFollow on LinkedIn

+ Translate

Epidemiological studies on catastrophe theory

, : Epidemiological studies on catastrophe theory. Bulletin of Azabu University Veterinary Medicine 2(2): 243-256

A dynamic system was constructed in the space of the epidemic of a contagious disease (epidemiological space) and the catastrophe theory was introduced to express the actual mode of the epidemic of a contagious disease (influenza, 1959) as a movement of the potential (disease intensity). The following conclusions were drawn. In the partial control space Rk of the epidemiological space, the primary, secondary and tertiary movements obtained from the curve of the number of patients appearing each day vs. the time were adopted as a basis. The model of the epidemic of a contagious disease was constructed as a dynamic system Rk .times. R1 .fwdarw. R, where k = 1, 2, 3 or 4 dimensions. The primary and secondary moments were selected as the basis of the control space to study the epidemiological significance of a cusp model. By adding the tertiary moment to this, the swallow tail model was studied. By further adding time as the 4th control factor, the butterfly model was studied. The primary and secondary moments (normal and splits factors in the catastrophe theory), the tertiary moment (as the bias factor) and the time (as the butterfly factor) were judged to be of epidemiological importance. The butterfly model containing the cusp and the swallowtail model is expected to be the most adequate model for the dynamic eludication of the epidemic of a contagious disease.

(PDF 0-2 workdays service)

Order PDF Full Text


Click here to order any other PDF Full Text

Accession: 005375452

PDF Full Text: Submit

Submit PDF Full Text

No spam - Every submission is manually reviewed

Due to poor quality, we do not accept files from Researchgate

Submitted PDF Full Texts will always be free for everyone
(We only charge for PDFs that we need to acquire)

Select a PDF file:

Other references

Simic Schleicher, G.; Neudorf, U.; Nagel, B.; Rascher, W.; Hauffa, B. P., 1998: Effects of standardised bicycle exercise on circulatory and hormonal parameters in patients with dominant pseudohypoaldosteronism with and without NACL supplementation. Hormone Research (Basel) 50(SUPPL 3): 108, Sept

Chrys R.A.; Pribram H.F.W.; Strelzow V.; Fritts H., 1987: Juvenile angiofibroma a unique case presenting with intracranial air. Otolaryngology - Head & Neck Surgery 97(6): 572-575

Goerlich, F., 1958: Die stratigraphische Verbreitung und fazielle Bedeutung der Ostracoden im marinen Oligozan von Rossenray bei Rheinberg (Niederrhein). Fortschr Rhein. Westfalen: 215-222

El Tahir, K. E. H.; Shoeb, H.; Al Shora, H., 1997: Exploration of some pharmacological activities of cardamom seed (Elettaria cardamomum) volatile oil. The effects of the essential oil of E. cardamomum seeds (obtained from India) on the cardiovascular system of rats, the nictitating membrane of cats, the isolated rabbit jejunum, the isolated guineapig ileum and the frog sciatic nerve preparation...

Hartkorn P., 1997: High-definition in situ stress measurements in tunneling. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 34(3-4): 697

Hogan C.; Mcdonald M.; Byrd T.; Andrade A.; Varnell R.; Ginsberg A., 1991: Effect of excimer laser photorefractive keratectomy on contrast sensitivity. Investigative Ophthalmology & Visual Science 32(4): 721

Bryant S.V., 1980: Frequency of supernumerary limbs following blastemal rotations in the newt notophthalmus viridescens. An examination was made of the supernumerary limbs produced as a result of tissue interaction following ipsilateral rotation of blastemas at the stage of early digits. The frequency of supernumerary limb formation peaks sharply at angles of rotati...

Hach P.; Uerlings I., 1969: On structure and genesis of crystalloids in the granular endoplasmic reticulum of embryonal pancreatic cells. Experimentelle Pathologie (Jena) 3(3): 132-137

Kaptein R., 1983: Staphylococcal nuclease ec 31311 and its complexes with nucleotidic inhibitors a photochemically induced dynamic nuclear polarization study of aromatic residues exposure. S Letters: 55-60

Sato M., 1988: Cellular proliferation and ras oncogene of p21 21000 expression in relation to the intracellular cyclic amp levels of a human salivary gland adenocarcinoma cell line in culture. We have found that reversible differentiation into the myoepithelial cells of a human salivary gland adneocarcinoma cell line (HSG) occurs in growth medium containing dibutyryl cAMP (DB-cAMP). In the current study, the relationship between intrace...