Due to deficient treatments and vaccines for dengue viruses,dengue control mainly depends on controlling mosquitoes.Suppressing wild mosquito population size by releasing male-only Wolbachia-carrying mosquitoes into t...Due to deficient treatments and vaccines for dengue viruses,dengue control mainly depends on controlling mosquitoes.Suppressing wild mosquito population size by releasing male-only Wolbachia-carrying mosquitoes into the field has become an eco-friendly alternative for traditional mosquito control methods.By assuming an ideal continuous proportional release strategy,we formulate a two-strain vector-host model incorporating larval competition to describe the affected cross-transmission dynamics of two dengue viruses serotypes.Moreover,antibody-dependent enhancement(ADE)and temporal cross-immunity are considered in this model.Theoretical analysis including the well-posedness,the existence and local stability of dengue-free equilibria in terms of the basic reproduction numbers is conducted.Sensitivity analysis indicates that the basic reproduction numbers are most sensitive to the adult female mortality rate and mosquito bite rate.As expected,intensifying larval competition can prevent the spread of dengue viruses.Unexpectedly,increasing the release ratio can delay the peak time while increase the peak level of both primary and secondary infections.To efficiently eliminate dengue outbreaks,other control methods such as spraying larvicides/adult insecticides and avoiding mosquito bites should be employed simultaneously during the time period gained by releasing Wolbachia-carrying males.展开更多
In this study, we develop an expression for a saturated mosquito feeding rate in an SIS malaria model to determine its effect on infection and transmission dynamics of malaria in the highlands of Western Kenya. The ba...In this study, we develop an expression for a saturated mosquito feeding rate in an SIS malaria model to determine its effect on infection and transmission dynamics of malaria in the highlands of Western Kenya. The basic reproduction number is established as a sharp threshold that determines whether the disease dies out or persists in the population. Precisely, if , the disease-free equilibrium is globally asymptotically stable and the disease always dies out and if , there exists a unique endemic equilibrium which is globally stable and the disease persists. The contribution of the saturated contact rate to the basic reproduction number and the level of the endemic equilibrium are also analyzed.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11901247)Foundation for High-Level Entrepreneurial and Innovative Talents of Jiangsu Province,and Research Grants for High-Level Talents of Jiangsu UniversityJun Wang was supported by NSFC of China(12371114)and National KeyR&D Program of China(2022YFA1005601).
文摘Due to deficient treatments and vaccines for dengue viruses,dengue control mainly depends on controlling mosquitoes.Suppressing wild mosquito population size by releasing male-only Wolbachia-carrying mosquitoes into the field has become an eco-friendly alternative for traditional mosquito control methods.By assuming an ideal continuous proportional release strategy,we formulate a two-strain vector-host model incorporating larval competition to describe the affected cross-transmission dynamics of two dengue viruses serotypes.Moreover,antibody-dependent enhancement(ADE)and temporal cross-immunity are considered in this model.Theoretical analysis including the well-posedness,the existence and local stability of dengue-free equilibria in terms of the basic reproduction numbers is conducted.Sensitivity analysis indicates that the basic reproduction numbers are most sensitive to the adult female mortality rate and mosquito bite rate.As expected,intensifying larval competition can prevent the spread of dengue viruses.Unexpectedly,increasing the release ratio can delay the peak time while increase the peak level of both primary and secondary infections.To efficiently eliminate dengue outbreaks,other control methods such as spraying larvicides/adult insecticides and avoiding mosquito bites should be employed simultaneously during the time period gained by releasing Wolbachia-carrying males.
文摘In this study, we develop an expression for a saturated mosquito feeding rate in an SIS malaria model to determine its effect on infection and transmission dynamics of malaria in the highlands of Western Kenya. The basic reproduction number is established as a sharp threshold that determines whether the disease dies out or persists in the population. Precisely, if , the disease-free equilibrium is globally asymptotically stable and the disease always dies out and if , there exists a unique endemic equilibrium which is globally stable and the disease persists. The contribution of the saturated contact rate to the basic reproduction number and the level of the endemic equilibrium are also analyzed.
