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 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)
Dynamic analysis of wild and sterile mosquito release model with ...
WitrynaUsing the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors … Witryna1 gru 2024 · By applying a time rescaling technique and an optimization algorithm based on gradient, the optimal impulsive release timings and amounts of sterile mosquitoes … trust property services eastbourne
Study of the sterile insect release technique for a two-sex …
WitrynaWe consider periodic impulsive releases in the first model and obtain the existence, uniqueness, and globally stability of a wild-mosquito-eradication periodic solution. We … WitrynaView history In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector quantity. Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the resultant direction. WitrynaThe mathematics problems they now encounter need organizational skills involving planning and sequencing, as well as skills like handwriting, copying text, note taking, … philips avance collection airfryer hd9741