By A. I. Fet, Viktor A. Okhonin

Many folks are interested in crises resulting in mess ups in nature, in social and monetary existence. The booklet bargains a favored account of the causative mechanisms of serious states and breakdown in a huge variety of typical and cultural structures -- which obey an analogous legislation -- and hence makes the reader conscious of the starting place of catastrophic occasions and the how you can stay away from and mitigate their destructive results. The authors practice a unmarried mathematical method of examine the riot of melanoma cells that break residing organisms and inhabitants outbreaks that dissatisfied normal ecosystems, the stability among biosphere and worldwide weather interfered in recent years by way of undefined, the riding mechanisms of marketplace and comparable financial and social phenomena, in addition to the electoral method the right kind use of that is an exhausting accomplishment of democracy

Show description

Read Online or Download Catastrophes in Nature and Society: Mathematical Modeling of Complex Systems PDF

Similar nature books

Natural History in the Highlands and Islands (Collins New Naturalist Library, Volume 6)

The Highlands and Islands of Scotland are rugged moorland, alpine mountains and jagged coast with awesome normal historical past. This version is unique to newnaturalists. com

The Highlands and Islands of Scotland are rugged moorland, alpine mountains and jagged coast with striking typical historical past, together with relict and specialized animals and crops. listed below are animals in rather huge numbers: St. Kilda with its sea-birds, North Rona its seals, Islay its wintering ducks, rivers and lochs with their spawning salmon and trout, the ever-present midges! this is often tremendous kingdom with purple deer, wildcat, pine marten, badger, otter, fox, ermine, golden eagle, osprey, raven, peregrine, gray lag, divers, phalaropes, capercaillie and ptarmigan. Off-shore are killer whales and basking sharks. the following too in huge scale interplay is forestry, sheep farming, game, tourism and wild existence conservation.

Wye Valley (Collins New Naturalist Library, Volume 105)

A definitive average heritage of the Wye Valley protecting the geology, geomorphology, conservation and ecological background of this varied quarter of exceptional common beauty.

The extraordinary panorama of the Wye Valley quarter has attracted viewers for over 250 years. particular one of many few lowland components of exceptional average attractiveness in 1971, it's ruled via the river Wye, which has performed a lot to shape this diverse ecological landscape.

George Peterken (who has lived within the sector for a few years and helped to draft the AONB's Nature Conservation approach in 1999), skillfully examines the varied ecology, common historical past, panorama and historical past of this district outlined customarily by way of the intense evolution of the river Wye right into a meandering mature river.

With little formerly released at the zone, Peterken additionally explores the result of fresh conservation efforts within the sector, recognising that regardless of the security afforded to the --? remarkable ordinary beauty--™ of common habitats and wild species, those areas have endured to undergo vast losses. Peterken is going directly to chart the various projects that proceed to advertise powerful conservation in the AONB and surrounding areas.

Perfect for the enthusiastic naturalist, New Naturalist Wye Valley unlocks the secrets and techniques of this pretty normal zone.

Fur, Fortune, and Empire: The Epic History of the Fur Trade in America

As Henry Hudson sailed up the wide river that will sooner or later endure his identify, he grew involved that his Dutch buyers will be disillusioned in his failure to discover the fabled path to the Orient. What turned instantly obvious, despite the fact that, from the Indians clad in deer skins and "good furs" was once that Hudson had came across anything simply as tantalizing.

Additional info for Catastrophes in Nature and Society: Mathematical Modeling of Complex Systems

Example text

The phase curves with two equilibrium points are obviously unrealistic: once got to the right of the unstable point, the population would grow infinitely. The same holds true for any even number of equilibrium points. On the other hand, any odd number of equilibrium points would be theoretically possible, though the known populations have no more than three such points. Thus, our classification appears to be exhaustive for the intended biological applications. Note that outbreaks of forest insects acquire specific features in the time of climate change like one we might now witness.

See this relationship in Fig. 4 showing two tumors with the radiuses r1 and r2, where r1 < r2. , the local concentration of cancer cells at the tumor surface is 5/12 at r1 and 5/11 at r2; the correspondence between x and R is univocal in this simplified case. r2 r1 Fig. 4. Local concentration of cancer cells at the tumor surface. Black circles show cancer cells, gray circles show tissue cells. In a general case it can be found as the ratio U1/(U1 + U2), where U1 is the volume of a layer of cancer cells that contacts the interface from inside and U2 is the volume of a layer of tissue cells that contacts the interface from outside.

Note that zero concentration of cancer cells is associated with a nonzero reproduction rate. In this case “reproduction” corresponds rather to spontaneous onset of cancer cells due to various external and internal effects than to the true reproduction by division. These cells are inoffensive because the immune system relatively easily copes with them and kills them before they can reproduce largely enough. The stage when the immune system is able to suppress the proliferation of cancer cells is recorded by the first falling interval of the reproduction curves.

Download PDF sample

Rated 4.11 of 5 – based on 33 votes