AI Article Synopsis
- The study examines how infectious diseases are transmitted in populations with one or two types of hosts, focusing on models that incorporate self-regulation.
- It highlights that models using mass-action incidence show complex behaviors like multiple equilibria and periodic solutions, while frequency-dependent incidence models behave like classic endemic models.
- The findings underscore significant differences in disease behavior depending on whether mass-action or frequency-dependent incidence is used in the modeling approach.
Article Abstract
Models for the transmission of an infectious disease in one and two host populations with and without self-regulation are analyzed. Many unusual behaviors such as multiple positive equilibria and periodic solutions occur in previous models that use the mass-action (density-dependent) incidence. In contrast, the models formulated using the frequency-dependent (standard) incidence have the behavior of a classic endemic model, since below the threshold, the disease dies out, and above the threshold, the disease persists and the infectious fractions approach an endemic equilibrium. The results given here reinforce previous examples in which there are major differences in behavior between models using mass-action and frequency-dependent incidences.
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| http://dx.doi.org/10.1007/s00285-005-0335-5 | DOI Listing |
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