In this paper,we investigate the existence of solutions and analyze the large-time behavior for Gurtin-Maccamy population model involving conformable fractional derivatives.As a preliminary step,we construct a generic...In this paper,we investigate the existence of solutions and analyze the large-time behavior for Gurtin-Maccamy population model involving conformable fractional derivatives.As a preliminary step,we construct a generic structure of the solution associated with our proposed model by utilizing some basic properties and tools of conformable fractional calculus.We establish the existence of a unique solution of the given model with the given initial conditions.At last,by using the upper and lower solutions for the characteristic equation,we define the upper and lower boundaries for the obtained solution and describe the large-time behavior of the total population.展开更多
The model of a kind of predator-parasite-pest system is built in t his paper in which the parasite population is controlled by predator in such a way that it preys upon the pest individuals parasitized. A disgusty of ...The model of a kind of predator-parasite-pest system is built in t his paper in which the parasite population is controlled by predator in such a way that it preys upon the pest individuals parasitized. A disgusty of predator for preying upon the pest individuals parasited is introduced in the model to measure the intensity that the parasite population was controlled by the predator.The persistence and the stability are studied for this system mathematically. And the influence of the disgusty on the persistence of the system is also noticed in biology.展开更多
文摘In this paper,we investigate the existence of solutions and analyze the large-time behavior for Gurtin-Maccamy population model involving conformable fractional derivatives.As a preliminary step,we construct a generic structure of the solution associated with our proposed model by utilizing some basic properties and tools of conformable fractional calculus.We establish the existence of a unique solution of the given model with the given initial conditions.At last,by using the upper and lower solutions for the characteristic equation,we define the upper and lower boundaries for the obtained solution and describe the large-time behavior of the total population.
文摘The model of a kind of predator-parasite-pest system is built in t his paper in which the parasite population is controlled by predator in such a way that it preys upon the pest individuals parasitized. A disgusty of predator for preying upon the pest individuals parasited is introduced in the model to measure the intensity that the parasite population was controlled by the predator.The persistence and the stability are studied for this system mathematically. And the influence of the disgusty on the persistence of the system is also noticed in biology.
