Technical Report

 

An Analysis of the Coexistence of Three Competing Species with a Shared Pathogen Public Deposited

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  • We consider an SI model of three competing species that are all a ffected by a single pathogen which is transmitted directly via mass action. The total population sizes of the three species satisfy a three-dimensional Lotka-Volterra competition model. We address the interaction between competition and disease dynamics, and show that infected coexistence in the model is determined by the values of the basic reproduction numbers as well as the relative strengths of intra-specific crowding versus inter-specific competition for all three species.
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  • URISC Program, Research Office, Oregon State University
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  • description.provenance : Approved for entry into archive by Vrushali Bokil(bokilv@math.oregonstate.edu) on 2011-08-11T15:47:36Z (GMT) No. of bitstreams: 3 ORST-MATH-11-02.pdf: 408582 bytes, checksum: 5b57a522f785475f9205506a9ad4504f (MD5) license_rdf: 22797 bytes, checksum: c87af7b95ad7d9cc7c32b1191f533229 (MD5) license_text: 21199 bytes, checksum: 6d8c89d46a9129165bb6f6604d940460 (MD5)
  • description.provenance : Made available in DSpace on 2011-08-11T15:47:36Z (GMT). No. of bitstreams: 3 ORST-MATH-11-02.pdf: 408582 bytes, checksum: 5b57a522f785475f9205506a9ad4504f (MD5) license_rdf: 22797 bytes, checksum: c87af7b95ad7d9cc7c32b1191f533229 (MD5) license_text: 21199 bytes, checksum: 6d8c89d46a9129165bb6f6604d940460 (MD5)
  • description.provenance : Submitted by Vrushali Bokil (bokilv@math.oregonstate.edu) on 2011-08-11T15:44:34Z No. of bitstreams: 3 ORST-MATH-11-02.pdf: 408582 bytes, checksum: 5b57a522f785475f9205506a9ad4504f (MD5) license_rdf: 22797 bytes, checksum: c87af7b95ad7d9cc7c32b1191f533229 (MD5) license_text: 21199 bytes, checksum: 6d8c89d46a9129165bb6f6604d940460 (MD5)

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