Diversity of hysteresis in a fully cooperative coinfection model

Jorge P. Rodríguez, Yu Hao Liang, Yu Jhe Huang, Juang Jonq*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We propose a fully cooperative coinfection model in which singly infected individuals are more likely to acquire a second disease than susceptible ones and doubly infected individuals are also assumed to be more contagious than singly infected ones. The dynamics of such a fully cooperative coinfection model is investigated through the well-mixed approach. In particular, discontinuous outbreak transitions from the disease free state or the low prevalence state to the high prevalence state can be separately observed as a disease transmission rate crosses a threshold αo from the below when the epidemic is still in the early stages. Moreover, discontinuous eradications from the high prevalence state to the low prevalence or disease free state are also separately seen as the transmission rate reaches a threshold α e (< α o) from the above when the outbreak occurs. Such phenomena constitute three types of hysteresis, where only one type has been identified before. Complete characterization of these three types of hysteresis in terms of parameters measuring the uniformity of the model is both analytically and numerically provided.

Original languageEnglish
Article number023107
Issue number2
StatePublished - 1 Feb 2018

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