Malaria Modeling
Reviews & Commentaries
Other Bibliographies: Mathematical Models | Vector Bionomics
1916
Ross R | An application of the theory of probabilities to the study of a priori pathometry. Part I [1].
It is somewhat surprising that so little mathematical work should have been done on the subject of epidemics, and, indeed, on the distribution of diseases in general. Not only is the theme of immediate importance to humanity, but it is one which is fundamentally connected with numbers, while vast masses of statistics have long been awaiting proper examination. But, more than this, many and indeed the principal problems of epidemiology on which preventive measures largely depend, such as the rate of infection, the frequency of outbreaks, and the loss of immunity, can scarcely ever be resolved by any other methods than those of analysis.
The whole subject is capable of study by two distinct methods which are used in other branches of science, which are complementary of each other, and which should converge towards the same results – the a posteriori and the a prioi methods. In the former we commence with observed statistics, endeavour to fit analytical laws to them, and so work backwards to the underlying cause (as done in much statistical work of the day); and in the latter we assume a knowledge of the causes, construct our differential equations on that supposition, follow up the logical consequences, and finally test the calculated results by comparing them with the observed statistics.
1957
Macdonald G | The epidemiology and control of malaria [2]
1969
Bruce-Chwatt LJ | Quantitative epidemiology of tropical diseases. [3].
1975
Fine PEM | Superinfection - a problem in formulating a problem, by Paul Fine [4].
Fine PEM | Ross’s a priori pathometry - a perspective [5].
1976
Bruce-Chwatt LJ | Swellengrabel oration: Mathematical models in the epidemiology and control of malaria [6]
1982
Bailey NTJ | The Biomathematics of Malaria [7]. This book is a comprehensive review of mathematical epidemiology for malaria from its inception through the 1970s.
Aron JL & May RM | The population dynamics of malaria [8]. This book chapter is a very useful review of malaria. One of the models is covered in a vignette.
1985
Molineaux L | The pros and cons of modelling malaria transmission [9]
1988
Dietz K | Mathematical models for transmission and control of malaria [10].
- Chapter 37 in the two volume set, Malaria: Principles and Practice of Malariology
1991
Koella J | On the use of mathematical models of malaria transmission [11]
1999
Molineaux L & Dietz K | Review of intra-host models of malaria [12]
2000
McKenzie FE | Why Model Malaria? [13].
2011
Mandal S, … | Mathematical models of malaria – a review [14].
2012
Smith DL, … | Ross, Macdonald, and a theory for the dynamics and control of mosquito-transmitted pathogens [15].
A review of development of theory for malaria including Ross and Macdonald.
The supporting information includes an annotated bibliography
2013
Reiner RC Jr, Perkins TA, … | A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970-2010 [16].
2014
Smith DL, … | Recasting the theory of mosquito-borne pathogen transmission dynamics and control [17].
2018
Smith NR, … | Agent-based models of malaria transmission: A systematic review [18].
2021
Camponovo F, … | Mechanistic within-host models of the asexual Plasmodium falciparum infection: A review and analytical assessment [19].