A new model with delay for mosquito population dynamics
In this paper, we formulate a new model with maturation delay formosquito population incorporating the impact of blood meal resourcefor mosquito reproduction. Our results suggest that except for theusual crowded effect for adult mosquitoes, the impact of blood mealresource in a given region determin...
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AIMS Press
2014-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1395 |
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| author | Hui Wan Huaiping Zhu |
| author_facet | Hui Wan Huaiping Zhu |
| author_sort | Hui Wan |
| collection | DOAJ |
| description | In this paper, we formulate a new model with maturation delay formosquito population incorporating the impact of blood meal resourcefor mosquito reproduction. Our results suggest that except for theusual crowded effect for adult mosquitoes, the impact of blood mealresource in a given region determines the mosquito abundance, it isalso important for the population dynamics of mosquito which mayinduce Hopf bifurcation. The existence of a stable periodic solutionis proved both analytically and numerically. The new model formosquito also suggests that the resources for mosquito reproductionshould not be ignored or mixed with the impact of blood mealresources for mosquito survival and both impacts should beconsidered in the model of mosquito population. The impact ofmaturation delay is also analyzed. |
| format | Article |
| id | doaj-art-9b829b64db5142d7a87ad83e75db94e1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9b829b64db5142d7a87ad83e75db94e12025-01-24T02:29:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161395141010.3934/mbe.2014.11.1395A new model with delay for mosquito population dynamicsHui Wan0Huaiping Zhu1Jiangsu Key Laboratory for NSLSCS, School of Mathematical Science, Nanjing Normal University, Nanjing, 210023LAboratory of Mathematical Parallel Systems (LAMPS), Centre for Disease Modeling, Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3In this paper, we formulate a new model with maturation delay formosquito population incorporating the impact of blood meal resourcefor mosquito reproduction. Our results suggest that except for theusual crowded effect for adult mosquitoes, the impact of blood mealresource in a given region determines the mosquito abundance, it isalso important for the population dynamics of mosquito which mayinduce Hopf bifurcation. The existence of a stable periodic solutionis proved both analytically and numerically. The new model formosquito also suggests that the resources for mosquito reproductionshould not be ignored or mixed with the impact of blood mealresources for mosquito survival and both impacts should beconsidered in the model of mosquito population. The impact ofmaturation delay is also analyzed.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1395hopf bifurcation.reproductionstabilitymaturation delayblood meal resourcemosquito population |
| spellingShingle | Hui Wan Huaiping Zhu A new model with delay for mosquito population dynamics Mathematical Biosciences and Engineering hopf bifurcation. reproduction stability maturation delay blood meal resource mosquito population |
| title | A new model with delay for mosquito population dynamics |
| title_full | A new model with delay for mosquito population dynamics |
| title_fullStr | A new model with delay for mosquito population dynamics |
| title_full_unstemmed | A new model with delay for mosquito population dynamics |
| title_short | A new model with delay for mosquito population dynamics |
| title_sort | new model with delay for mosquito population dynamics |
| topic | hopf bifurcation. reproduction stability maturation delay blood meal resource mosquito population |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1395 |
| work_keys_str_mv | AT huiwan anewmodelwithdelayformosquitopopulationdynamics AT huaipingzhu anewmodelwithdelayformosquitopopulationdynamics AT huiwan newmodelwithdelayformosquitopopulationdynamics AT huaipingzhu newmodelwithdelayformosquitopopulationdynamics |