Evidence of Critical Transitions and Coexistence of Alternative States in Nature: The Case of Malaria Transmission

David Alonso, Andrew P. Dobson, Mercedes Pascual

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Sometimes abrupt changes occur in nature. Examples of these phenomena exist in lakes, oceans, terrestrial ecosystems, climate, evolution, and human societies. Dynamical systems theory has provided useful tools to understand the nature of these changes. When certain non-linearities underlie system dynamics, rapid transitions may happen when critical thresholds for certain parameter values are overcome. Here we describe a malaria dynamical model that couples vector and human disease dynamics through mosquito infectious bites, with the possibility of super-infection, this is, the reinfection of asymptomatic hosts before they have cleared a prior infection. This key feature creates the potential for sudden transitions in the prevalence of infected hosts that seem to characterize malaria’s response to environmental conditions. This dynamic behavior may challenge control strategies in different locations. We argue that the potential for critical transitions is a general and overlooked feature of any model for vector borne diseases with incomplete, complex immunity.

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages73-79
Number of pages7
DOIs
StatePublished - Jan 1 2019

Publication series

NameTrends in Mathematics
Volume11
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    Alonso, D., Dobson, A. P., & Pascual, M. (2019). Evidence of Critical Transitions and Coexistence of Alternative States in Nature: The Case of Malaria Transmission. In Trends in Mathematics (pp. 73-79). (Trends in Mathematics; Vol. 11). Springer International Publishing. https://doi.org/10.1007/978-3-030-25261-8_11