WitrynaIn this paper, we formulate a mathematical model of nonautonomous ordinary differential equations describing the dynamics of malaria transmission with age structure for the vector population. The biting rate of mosquitoes is considered as a positive periodic function which depends on climatic factors. The basic reproduction ratio of the model … WitrynaTwo minutes to impulse release! He's having homicidal fantasies that are directly linked to his sexual impulses and release. Jooss dramatizes the way destructive impulses …

Analysis of impulse release of - ScienceDirect

Witryna26 paź 2024 · We formulate a mathematical model for vector-borne disease with impulsive perturbation based on indoor residual spraying. The dynamical properties are studied theoretically and numerically. WitrynaF net Δ t is known as impulse and this equation is known as the impulse-momentum theorem. From the equation, we see that the impulse equals the average net external … greater milwaukee area

Mathematics Special Issue : Impulsive Control Systems and

WitrynaABSTRACT Toinvestigatethereleasestrategiesofsterilemosquitoesforthewild population control, we propose mathematical models for the inter- action between two-mosquito populations incorporating impulsive releases of sterile ones. Witryna11 wrz 2024 · Impulse Response As we said before, in the differential equation Lx = f(t), we think of f(t) as input, and x(t) as the output. Often it is important to find the response to an impulse, and then we use the delta function in place of f(t). The solution to Lx = δ(t) is called the impulse response. Example 6.4.2 Solve (find the impulse response) Mathematical models have been published to investigated the effect of impulsive releases of sterile mosquitoes on mosquito-borne disease transmissions [6, 28,29,30,31,32,33,34,35]. Yu and Li obtained the existence and uniqueness of a periodic solution based on two switching subpopulations. Zobacz więcej Let \omega (t)=(x_1(t),x_2(t),y(t)) be any solution of system (1). Then the wild-mosquito-eradication periodic solution (0,0,y^*(t)) is globally asymptotically stable provided R_0<1,where and \theta =\displaystyle … Zobacz więcej If R_0>1 holds, then the wild mosquitoes are uniformly persistent, which implies there exists a positive constant \varsigma such that the solution (x_1(t),x_2(t),y(t)) of system (1) satisfies \displaystyle \liminf _{t\rightarrow … Zobacz więcej In the first case, we will give the proof of local stability of the wild-mosquito-eradication periodic solution. The local stability of the wild-mosquito-eradication periodic solution … Zobacz więcej If no dispersal happens in each patch, then wild mosquitoes will become extinct for R_{01}<0 and R_{02}<0, where R_{01}=b_1\theta … Zobacz więcej flint hills ortho el dorado