DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL

被引:0
|
作者
Sisman, Seyma [1 ]
Merdan, Mehmet [1 ]
机构
[1] Gumushane Univ, Math Engn Dept, Gumushane, Turkey
关键词
host-parasite model; Neimark-Sacker bifurcation; discrete dynamical system; NEIMARK-SACKER BIFURCATION; GLOBAL STABILITY; CHAOS;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the parasite and host. When discretization is applied to the differential equation, a two-dimensional discrete system is obtained in the range of t is an element of [n, n + 1] then the stability of the Neimark-Sacker bifurcation of the positive equilibrium point of this discrete system is investigated. Finally, MAPLE and MATLAB package program are used to show the accuracy of the results obtained.
引用
收藏
页码:123 / 132
页数:10
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