Backward Bifurcation Analysis for A Malaria Transmission Model
DOI:
https://doi.org/10.11145/cb.v3i1.695Abstract
В
In the epidemiology of infectious diseases, the backward bifurcation phenomenon refers to the situation where the disease-free equilibrium co-exists with an endemic equilibrium when the basic reproduction number is less than unity, both equilibrium points being locally asymptotically stable. This work is based on the paper Chitnis et al. 2006 (Bifurcation Analysis of a mathematical model for malaria transmission) in which a conjecture is made regarding on the existence of the backward bifurcation for a malaria transmission model proposed the method. By using the Center Manifold Theory, we establish sufficient conditions for the occurrence of the backward bifurcation.
В
Downloads
Published
Issue
Section
License
The journal Biomath Communications is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
