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  • Ký hiệu PL/XG: 005.3
    Nhan đề: Nonstandard Finite Difference Schemes For solving A Modified Epidemiological Model For computer Viruses /
DDC 005.3
Tác giả CN Đăng, Quang A
Nhan đề Nonstandard Finite Difference Schemes For solving A Modified Epidemiological Model For computer Viruses / Dang Quang A, Hoang Manh Tuan, Dang Quang Long
Mô tả vật lý 15 p.
Tóm tắt In this paper we construct two families of nonstandard finite difference (NSFD) schemes preserving the essential properties of a computer virus propagation model. such as positivity boundedness and stability. The first family of NSFD schemes is constructed based on the nonlocal discretization and has first order of accuracy. while the second one is based on the combination of a classical Range kutta method and selection of a nonstandard denominator function and it is of fourth order of accuracy. The theoretical study of these families of NSFD schemes is performed with support of numerical simulations. The numerical simulations confirm the accuracy and the efficiency of the fourth order NSFD schemes. They hint that the disease free equilibrium point is not only locally stable hut also globally stable. and then this fact is proved theoretically. The experimental results also show that the global stability of the continuous model is preserved.
Từ khóa tự do Mô phỏng số
Từ khóa tự do Computer viruses
Từ khóa tự do Numerical simulations
Từ khóa tự do Vi rút máy tính
Tác giả(bs) CN Đăng, Quang Long
Tác giả(bs) CN Hoàng, Mạnh Tuấn
Nguồn trích Tạp chí Tin học và Điều khiển học = Journal of Computer Science And Cybernetics 2018Page 171 - 185 Số: 02 Tập: 34
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082 |a005.3
100 |aĐăng, Quang A
245 |aNonstandard Finite Difference Schemes For solving A Modified Epidemiological Model For computer Viruses / |cDang Quang A, Hoang Manh Tuan, Dang Quang Long
300 |a15 p.
520 |aIn this paper we construct two families of nonstandard finite difference (NSFD) schemes preserving the essential properties of a computer virus propagation model. such as positivity boundedness and stability. The first family of NSFD schemes is constructed based on the nonlocal discretization and has first order of accuracy. while the second one is based on the combination of a classical Range kutta method and selection of a nonstandard denominator function and it is of fourth order of accuracy. The theoretical study of these families of NSFD schemes is performed with support of numerical simulations. The numerical simulations confirm the accuracy and the efficiency of the fourth order NSFD schemes. They hint that the disease free equilibrium point is not only locally stable hut also globally stable. and then this fact is proved theoretically. The experimental results also show that the global stability of the continuous model is preserved.
653 |aMô phỏng số
653 |aComputer viruses
653 |aNumerical simulations
653 |aVi rút máy tính
700 |aĐăng, Quang Long
700 |aHoàng, Mạnh Tuấn
773 |tTạp chí Tin học và Điều khiển học = Journal of Computer Science And Cybernetics |d2018|gPage 171 - 185|v34|i02
890|c0|a0|b0|d0
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