Optimal bed net use for a dengue disease model with mosquito seasonal pattern

Abstract

MOS Classification: 92D30; 34A34; 49J15Controversial results concerning the effectiveness of bed net in reducing dengue fever transmission make further research necessary in this direction. At this aim, we consider a mathematical model of dengue transmission where the use by individuals of insecticide-treated bed nets is taken into account, combined or not with insecticide spraying. Furthermore, as climatic factors play a key role in mosquito-borne diseases, we model the effect of seasonality through a periodic mosquito birth rate. We numerically investigate some specific scenarios according to different rainfall and mean temperature values. We set an optimal control problem to minimize the number of human infections and the cost of efforts placed into bed net adoption and maintenance and insecticide spraying. To assess the most appropriate strategy to eliminate dengue with minimum costs, we perform a comparative cost-effectiveness analysis, which also shows how the cost-benefit of intervention efforts is affected by changes in the amplitude of seasonal variation. One general result is that in any case the combination of bed net use and insecticide spraying produces the highest ratio of infections averted, whereas in terms of cost-benefit only spraying campaigns should be implemented in control programs for regions with no large seasonality.

Dengue infection modeling and its optimal control analysis in East Java, Indonesia

“…9 (f), the prevention is kept at full effort for approximately 37 days and then reduces gradually till the end of the intervention, while the insecticide is maintained at maximal effort during 69 days and then reduces rapidly for the rest of the intervention. These results are in accord with earlier studies [36] , [43] which showed when the two controls were combined, the impact of insecticide spraying appeared to be dominant over preventive measures alone. Moreover, the prevalence timing was similar to that of insecticide-only interventions.…”

“…The control insecticide spraying only has been considered in dengue control model given in [42] . The use of both the control for dengue control in the population is considered in [36] , [43] . The prevention efforts include the use of mosquito nets, mosquito repellent like DEET, and treat clothes with repellent, while insecticide includes spraying and fogging against mosquitoes.…”

Spatial transmission and risk assessment of West Nile virus on a growing domain

“…Since ancient times, the prevalence of infectious diseases has brought enormous damage to people; therefore, many countries around the world pay more attention to the investigation of the infectious diseases. Various epidemic models have been proposed and analyzed for prevention and control strategies, especially for vector borne diseases 1‐3 …”

Complexity of host-vector dynamics in a two-strain dengue model

“…Female mosquitoes, however, play a role in the transmission of the disease and are principal target for most control strategies. Dengue models which include mosquito dynamics explicitly [5,14,15,31,36] add compartments for susceptible and dengue-infected mosquitos. The vector population is governed by a susceptible-infected model because the mosquitos do not recover from the virus.…”

“…The vector population is governed by a susceptible-infected model because the mosquitos do not recover from the virus. Control strategies for models of single-strain dengue with seasonality have been studied in [5,31] and for a two-strain model without seasonality in [36].…”