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2016 | OriginalPaper | Buchkapitel

5. Dynamic Models of Conflict

verfasst von : Nicos Christodoulakis

Erschienen in: An Economic Analysis of Conflicts

Verlag: Springer International Publishing

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Abstract

This chapter provides a review of traditional models that are widely used for studying the dynamics of fighting. They include the combat models derived by Lanchester and the Lotka-Volterra models.

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Vorheriges Kapitel Models of Repression and Inclusion

Nächstes Kapitel Estimation of Conflict Dynamics

Nur mit Berechtigung zugänglich

The term was first used by US President Eisenhower in his Farewell Address, 21 January 1961.

Note that the product of the two characteristic roots equals the determinant of the Jacobian that in this case is given by det (J4) = −αγ.i

Losses can also be self-multiplied in suicidal insurgencies where a new wave of martyrs follows those previously perished but, again, this cannot last for very long.

Din (2013) describes a predator–prey model, in which interactions differ from the conflict framework. The corresponding parameters should become α, γ<0 so that (−α) and (−γ) denote reproduction rates. Parameters in the non-linear terms should be β<0 to denote predation, while δ>0 to express the effect of feeding the predators.

The characteristic equation takes the form z ² − Tz + D = 0, where (T) is calculated as the trace and (D) as the determinant of the Jacobian. A necessary and sufficient condition for two stable roots is |T|<1+D<2, no matter if they are real or complex.

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Titel: Dynamic Models of Conflict
verfasst von: Nicos Christodoulakis
Verlag: Springer International Publishing
Buch: An Economic Analysis of Conflicts
Print ISBN: 978-3-319-32260-5

Electronic ISBN: 978-3-319-32261-2

Copyright-Jahr: 2016
DOI: https://doi.org/10.1007/978-3-319-32261-2_5