Dynamics of evolutionary competition between budding and lytic viral release strategies
In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two v...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2014-05-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1091 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590137795543040 |
|---|---|
| author | Xiulan Lai Xingfu Zou |
| author_facet | Xiulan Lai Xingfu Zou |
| author_sort | Xiulan Lai |
| collection | DOAJ |
| description | In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two viruses. If the basic reproductive ratio of budding virus is greater than that of lytic virus and one, budding virus can survive. When antibody is established for both strains but the neutralization capacities are the same for both strains, consequence of the competition also depends only on the basic reproductive ratios of the budding and lytic viruses. Using two concrete forms of the viral production functions, we are also able to conclude that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and lytic viruses. In this case, budding strategy would have an evolutionary advantage. However, if the antibody neutralization capacity for the budding virus is larger than that for the lytic virus, the lytic virus can outcompete the budding virus provided that its reproductive ratio is very high. An explicit threshold is derived. |
| format | Article |
| id | doaj-art-a68f3ac7f94c4517a54e7ac6fcc63dcb |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a68f3ac7f94c4517a54e7ac6fcc63dcb2025-01-24T02:28:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-05-011151091111310.3934/mbe.2014.11.1091Dynamics of evolutionary competition between budding and lytic viral release strategiesXiulan Lai0Xingfu Zou1Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two viruses. If the basic reproductive ratio of budding virus is greater than that of lytic virus and one, budding virus can survive. When antibody is established for both strains but the neutralization capacities are the same for both strains, consequence of the competition also depends only on the basic reproductive ratios of the budding and lytic viruses. Using two concrete forms of the viral production functions, we are also able to conclude that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and lytic viruses. In this case, budding strategy would have an evolutionary advantage. However, if the antibody neutralization capacity for the budding virus is larger than that for the lytic virus, the lytic virus can outcompete the budding virus provided that its reproductive ratio is very high. An explicit threshold is derived.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1091competitionstabilityantibodyinfection agereleasing strategyburst size.buddingvirus dynamicslytic |
| spellingShingle | Xiulan Lai Xingfu Zou Dynamics of evolutionary competition between budding and lytic viral release strategies Mathematical Biosciences and Engineering competition stability antibody infection age releasing strategy burst size. budding virus dynamics lytic |
| title | Dynamics of evolutionary competition between budding and lytic viral release strategies |
| title_full | Dynamics of evolutionary competition between budding and lytic viral release strategies |
| title_fullStr | Dynamics of evolutionary competition between budding and lytic viral release strategies |
| title_full_unstemmed | Dynamics of evolutionary competition between budding and lytic viral release strategies |
| title_short | Dynamics of evolutionary competition between budding and lytic viral release strategies |
| title_sort | dynamics of evolutionary competition between budding and lytic viral release strategies |
| topic | competition stability antibody infection age releasing strategy burst size. budding virus dynamics lytic |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1091 |
| work_keys_str_mv | AT xiulanlai dynamicsofevolutionarycompetitionbetweenbuddingandlyticviralreleasestrategies AT xingfuzou dynamicsofevolutionarycompetitionbetweenbuddingandlyticviralreleasestrategies |