کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4499846 1624004 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparing malaria surveillance with periodic spraying in the presence of insecticide-resistant mosquitoes: Should we spray regularly or based on human infections?
ترجمه فارسی عنوان
مقایسه مقابله با مالاریا با پراکندگی دوره ای در حضور پشه های مقاوم به حشره کش: آیا ما باید به طور منظم یا بر اساس عفونت های انسانی اسپری کنیم؟
کلمات کلیدی
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
چکیده انگلیسی


• We use impulsive differential equations to account insecticide resistance.
• We trigger spraying either periodically or when a critical number of cases is reached.
• Bistability is a likely outcome.
• A saddle-node bifurcation implies malaria persistence in the form of impulsive orbits.
• Spraying based on malaria cases is asymptotically equivalent to periodic spraying.

There is an urgent need for more understanding of the effects of surveillance on malaria control. Indoor residual spraying has had beneficial effects on global malaria reduction, but resistance to the insecticide poses a threat to eradication. We develop a model of impulsive differential equations to account for a resistant strain of mosquitoes that is entirely immune to the insecticide. The impulse is triggered either due to periodic spraying or when a critical number of malaria cases are detected. For small mutation rates, the mosquito-only submodel exhibits either a single mutant-only equilibrium, a mutant-only equilibrium and a single coexistence equilibrium, or a mutant-only equilibrium and a pair of coexistence equilibria. Bistability is a likely outcome, while the effect of impulses is to introduce a saddle-node bifurcation, resulting in persistence of malaria in the form of impulsive periodic orbits. If certain parameters are small, triggering the insecticide based on number of malaria cases is asymptotically equivalent to spraying periodically.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 276, June 2016, Pages 145–163
نویسندگان
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