Read e-book online An Introduction to Mathematical Population Dynamics: Along PDF

By Mimmo Iannelli, Andrea Pugliese

ISBN-10: 3319030264

ISBN-13: 9783319030265

This ebook is an creation to mathematical biology for college kids with out adventure in biology, yet who've a few mathematical historical past. The paintings is concentrated on inhabitants dynamics and ecology, following a convention that is going again to Lotka and Volterra, and contains a half dedicated to the unfold of infectious illnesses, a box the place mathematical modeling is intensely renowned. those issues are used because the zone the place to appreciate kinds of mathematical modeling and the prospective which means of qualitative contract of modeling with information. The ebook additionally incorporates a collections of difficulties designed to process extra complex questions. This fabric has been utilized in the classes on the collage of Trento, directed at scholars of their fourth yr of stories in arithmetic. it will probably even be used as a reference because it offers updated advancements in numerous parts.

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Read Online or Download An Introduction to Mathematical Population Dynamics: Along the trail of Volterra and Lotka (UNITEXT, Volume 79) PDF

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Extra info for An Introduction to Mathematical Population Dynamics: Along the trail of Volterra and Lotka (UNITEXT, Volume 79)

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15) are in the left hand side of the complex plane. 15) changes with τ . From the analysis of the change in the location of roots, reported at the end of this chapter in Sect. 6 and displayed graphically in Fig. 15) cross the imaginary axis so that the equilibrium solution u∗ = 1 becomes unstable. 46 2 Population models with delays Fig. 15) in the complex plane as τ varies. At τ = when two complex roots cross the imaginary axis π 2 Hopf bifurcation occurs This result is a prelude to Hopf bifurcation as discussed in Appendix A; numerical evidence shows that Hopf bifurcation actually occurs.

Variazioni e fluttuazioni del numero d’individui in specie animali conviventi, Mem. della R. Accademia dei Lincei, ser. VI, vol II, 31–113 (1926) 2 Population models with delays Una notte osservavo come al solito il cielo col mio telescopio. Notai che da una galassia lontana cento milioni d’anniluce sporgeva un cartello. C’era scritto: TI HO VISTO. 1 Italo Calvino, “Gli anni luce” in “Le Cosmicomiche”, 1965 The possibility that events, lost in the past, still influence our lives, is an evocative notion, strongly inspiring literature, at least.

2 This form of π (H) has not a mechanistic explanation as in the case of type II but is justified empirically on the basis of field data. 32), are considered more realistic and are respectively called (see Fig. 15) hyperbolic response and sigmoidal response. In the latter the exponent θ may be set and justified in terms of the predation mechanism and its role consists in a reduction of predation at low prey density, as it is the case of a generalist predator that, having other food sources, does not care 26 1 Malthus, Verhulst and all that Fig.

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An Introduction to Mathematical Population Dynamics: Along the trail of Volterra and Lotka (UNITEXT, Volume 79) by Mimmo Iannelli, Andrea Pugliese

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