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Literature DB >> 30854577

A general theory for target reproduction numbers with applications to ecology and epidemiology.

Mark A Lewis¹, Zhisheng Shuai², P van den Driessche³.

Abstract

A general framework for threshold parameters in population dynamics is developed using the concept of target reproduction numbers. This framework identifies reproduction numbers and other threshold parameters in the literature in terms of their roles in population control. The framework is applied to the analysis of single and multiple control strategies in ecology and epidemiology, and this provides new biological insights.

Keywords: Basic reproduction number; Control; Disease model; Lefkovitch matrix; Leslie matrix; Net reproductive value

Mesh：

Year: 2019 PMID： 30854577 DOI： 10.1007/s00285-019-01345-4

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

20 in total

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Authors: M J Keeling; B T Grenfell
Journal: J Theor Biol Date: 2000-03-07 Impact factor: 2.691

2. Applications of Perron-Frobenius theory to population dynamics.

Authors: Chi-Kwong Li; Hans Schneider
Journal: J Math Biol Date: 2002-05 Impact factor: 2.259

3. What life cycle graphs can tell about the evolution of life histories.

Authors: Claus Rueffler; Johan A J Metz; Tom J M Van Dooren
Journal: J Math Biol Date: 2012-02-05 Impact factor: 2.259

4. Dynamics of a multigroup epidemiological model with group-targeted vaccination strategies.

Authors: Lamwah Chow; Meng Fan; Zhilan Feng
Journal: J Theor Biol Date: 2011-09-21 Impact factor: 2.691

5. The type-reproduction number T in models for infectious disease control.

Authors: J A P Heesterbeek; M G Roberts
Journal: Math Biosci Date: 2006-03-10 Impact factor: 2.144

6. A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species.

Authors: T de-Camino-Beck; M A Lewis
Journal: Bull Math Biol Date: 2007-02-15 Impact factor: 1.758

A general theory for target reproduction numbers with applications to ecology and epidemiology.

1. Individual-based perspectives on R(0).

2. Applications of Perron-Frobenius theory to population dynamics.

3. What life cycle graphs can tell about the evolution of life histories.

4. Dynamics of a multigroup epidemiological model with group-targeted vaccination strategies.

5. The type-reproduction number T in models for infectious disease control.

6. A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species.

7. On net reproductive rate and the timing of reproductive output.

8. Necessary and sufficient conditions for R₀ to be a sum of contributions of fertility loops.

9. Models of bovine babesiosis including juvenile cattle.

10. The effects of human movement on the persistence of vector-borne diseases.

1. A model for epidemic dynamics in a community with visitor subpopulation.

2. An SIS model for the epidemic dynamics with two phases of the human day-to-day activity.