# An introduction to structured population dynamics

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544 citations

### Cites background from "An introduction to structured popul..."

...In most applications of delay differential equations in population dynamics, the need of incorporation of a time delay is often the result of the existence of some stage structure [1], [3], [10], [11], [12], [15]....

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424 citations

404 citations

### Cites methods from "An introduction to structured popul..."

...8), in the absence of disease-induced death (δh = 0), we prove, using the Lyapunov–Schmidt expansion as described by Cushing [9], that the bifurcation is supercritical (forward)....

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...In this model (2.8), in the absence of disease-induced death (δh = 0), we prove, using the Lyapunov–Schmidt expansion as described by Cushing [9], that the bifurcation is supercritical (forward)....

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...We can determine the initial direction of the continua of solution-pairs, C1 and C2, using the Lyapunov–Schmidt expansion, as described by Cushing [9]....

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352 citations

### Cites methods from "An introduction to structured popul..."

...Nonlinear matrix models, such as those introduced in Chapter 3, are increasingly being used in population modeling as indicated by the recent monographs [29, 44, 39]....

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292 citations