Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model
As both ticks and hosts may carry one or more pathogens, the phenomenon of coinfection of multiple tick-borne diseases becomes highly relevant and plays a key role in tick-borne disease transmission. In this paper, we propose a coinfection model involving two tick-borne diseases in a tick-host popul...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5615173 |
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| _version_ | 1832563309606338560 |
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| author | Bei Sun Xue Zhang Marco Tosato |
| author_facet | Bei Sun Xue Zhang Marco Tosato |
| author_sort | Bei Sun |
| collection | DOAJ |
| description | As both ticks and hosts may carry one or more pathogens, the phenomenon of coinfection of multiple tick-borne diseases becomes highly relevant and plays a key role in tick-borne disease transmission. In this paper, we propose a coinfection model involving two tick-borne diseases in a tick-host population and calculate the basic reproduction numbers at the disease-free equilibrium and two boundary equilibria. To explore the impact of coinfection, we also derive the invasion reproduction numbers which indicate the potential of a pathogen to persist when another pathogen already exists in tick and host populations. Then, we obtain the global stability of the system at the disease-free equilibrium and the boundary equilibrium, respectively, and further demonstrate the existence conditions for uniform persistence of the two diseases. The final numerical simulations mainly verify the theoretical results of coinfection. |
| format | Article |
| id | doaj-art-ad49046715c24059b047799eb40be7fd |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ad49046715c24059b047799eb40be7fd2025-02-03T01:20:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/56151735615173Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection ModelBei Sun0Xue Zhang1Marco Tosato2College of Science, Northeastern University, Shenyang, Liaoning 110819, ChinaCollege of Science, Northeastern University, Shenyang, Liaoning 110819, ChinaLaboratory for Industrial and Applied Mathematics, York University, Toronto, Ontario M3J1P3, CanadaAs both ticks and hosts may carry one or more pathogens, the phenomenon of coinfection of multiple tick-borne diseases becomes highly relevant and plays a key role in tick-borne disease transmission. In this paper, we propose a coinfection model involving two tick-borne diseases in a tick-host population and calculate the basic reproduction numbers at the disease-free equilibrium and two boundary equilibria. To explore the impact of coinfection, we also derive the invasion reproduction numbers which indicate the potential of a pathogen to persist when another pathogen already exists in tick and host populations. Then, we obtain the global stability of the system at the disease-free equilibrium and the boundary equilibrium, respectively, and further demonstrate the existence conditions for uniform persistence of the two diseases. The final numerical simulations mainly verify the theoretical results of coinfection.http://dx.doi.org/10.1155/2020/5615173 |
| spellingShingle | Bei Sun Xue Zhang Marco Tosato Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model Complexity |
| title | Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model |
| title_full | Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model |
| title_fullStr | Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model |
| title_full_unstemmed | Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model |
| title_short | Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model |
| title_sort | effects of coinfection on the dynamics of two pathogens in a tick host infection model |
| url | http://dx.doi.org/10.1155/2020/5615173 |
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