Some Spatial Representation Problems in Disease Modeling

The paper examines the applicability of spatial representation ideas to the determination of equilibrium solutions for multiregion disease models. In particular, alternatives to the standard specification of regionally variable infectivity rates are devised and their impact on the space-time behavior of a carrier model for Hodgkin's disease is assessed using data for Greater Manchester.     

ALTERNATIVE MEDICINE IN WESTERN INDUSTRIALIZED COUNTRIES: AN AGENDA FOR MEDICAL GEOGRAPHY

The range of health and health care topics amenable to geographical analyses in Western industralized countries has increased tremendously in the past two decades. These studies of health care systems have focused on the health organization, delivery, and utilization of biomed-ical services, however, to the virtual exclusion of analyses of a wide variety of alternative approaches to health and healing in these countries. This lacuna is regrettable in view of the fact that people's health care behaviour suggests that medical pluralism is a persisting reality in the industrialized countries. There is indeed a coexistence of biomedicine with several alternative therapies and, in recent years, there has been resurgence in the popularity and use of alternative medicine.     

Book reviews—Comptes rendus

Early Europe—L'Europe antique

Maurice SARTRE, L'Asie Mineure et l'Anatolie d'Alexandre à Dioclétien (IVe siècle av. JC—IIIe siècle op. JC), Annand Colin, Collection U, Paris, 1995.

Peter KINGSLEY, Ancient Philosophy, Mystery and Magic Empedocles and Pythagorean tradition, Oxford University Press, Oxford, 1995, ix + 422 p., ISBN 0–19–814988–3.

Central and eastern Europe—L'Europe centrale et orientate

Catharina LIS, Jan LUCASSEN & Hugo SOLY eds, Before the Unions: wage earners and collective action in Europe 1300–1850, Cambridge University Press, International Review of History Supplements, Cambridge, 1994,194 p., ISBN 0–521–47954–1.

M.S. ANDERSON, The War of the Austrian Succession, 1740–1748, Longman, London & New York, 1995, xi + 248 p., ISBN 0–582–05951–8.

C.W. INGRAO, ed., State and Society in Early Modern Austria, Purdue University Press, West Lafayette, Indiana, 1994, xvi + 339 p., ISBN 1–55753–047–5.

P.W. SCHROEDER, The Transformation of European Politics, 1763–1848, Clarendon Press, Oxford, 1994, xxii + 894 p,. ISBN 0–19–822119–3.

David E. BARCLAY, Frederick William IV and the Prussian Monarchy 1840–1861, Clarendon Press, Oxford 1995, 335 p., ISBN 0–19–820430–2 (German ed., Anarchie und guter Wille. Friedrich Wilhelm IV. und die preussische Monarchic, trartsl. by Marion Müller, Siedler Verlag, Berlin 1995, 535 p., ISBN 3–88680–463–1).

Jörg BABEROWSKI, Autokratie und Justiz. Zum Verhältnis von Rechtsstaatlichkeit und Rückständigkeit im ausgehenden Zarenreieh 1864–1914, Vittorio Klostermann, Frankfurt/M. (Veröffentlichungen des Max‐Planck‐Instituts für Europälsche Rechtsgeschichte, Ius Commune. Sonderhefte, Srudien zur Europäischen Rechtsgeschichte 78), 1996, xi + 845 p., ISBN 3465028325.

La vision de Ian Kershaw sur le pouvoir d'Hitler sur les Allemands. Deux ouvrages novateurs sur le nazisme traduits en français

Ian KERSHAW, L‘opinion allemande sous le nazisme: Bavière 1933–1945, CNRS‐Editions, collection “Histoire du XXe siècle”, Paris, 1995, 160 p.

Ian KERSHAW, Hitler: essai sur le charisme en politique, traduit de l'anglais par Jacqueline Carnaux, Gallimard, collection “NRF essais”, Paris, 1995, 240 p.

The idea of ‘Mitteleuropa’

Joseph ROTHSCHILD, Return to Diversity: a political history of East Central Europe since World War II, 2nd ed., Oxford University Press, Oxford & New York, 1993, 299 p., ISBN 0–19–507382–7.

Peter STIRK, ed., Mitteleuropa. History and prospects, Edinburgh University Press, Edinburgh, 1994, 176 p., ISBN 0–7486–0449–9.

Europe since 1945—L ‘Europe depute 1945

Geoffrey BEST, Law and War since 1945, Clarendon Press, Oxford, 1994, xiv + 434 p., ISBN 0198219911.

Anne‐Marie DURANTON‐CRABOL, L'Europe de l'extrême droite de 1945 à nos jours, Editions Complexe, Paris, 1991. 222 p.

Themes in cultural history—Etudes d'histoire culturelle

Mario MIEGGE, Il sogno del re di Babilonia, Feltrinelli, Milan, 1995, 210 p., ISBN 88–07–10178‐S.

Reba N. SOFTER, Discipline and Power: the university, history, and the making of an English elite, 1870–1930, Stanford University Press, Stanford, 1994, viii + 308 p., ISBN 0–8047–2383–4.

Robert WOHL, A Passion for Wings: aviation and the western imagination, 1908–1918, Yale University Press, New Haven & London, 1994, vii + 320 p., ISBN 0300057784.     

CENTER POINTS, EQUILIBRIUM POSITIONS, AND THE OBNOXIOUS LOCATION PROBLEM

ABSTRACT. Real variable analysis has een used to great benefit in a variety of classical problems in location theory. In this paper we explore basic complex variable techniques in one formulation of the obnoxious location problem. A general definition of center points is first given and used to formulate several alternate versions of the obnoxious location problem. A logarithmic transformation is then used to demonstrate some equivalences between these families of distinct location problems (defined via center points). A prototype logarithmic potential function which results from this formulation is then investigated, and it is demonstrated that the extremal solutions with this objective reside on the boundary of its domain of definition. An application using zero- and one-dimensional centers is discussed, and a generalization to the spatial obnoxious problem is also briefly examined. We define a zero-dimensional center as a critical point of the logarithmic potential function, and it is shown that these centers are equivalent to the solutions of the Complex Moment Problem.