Author: Ruixia Yuan; Zhidong Teng; Jinhui Li
Title: Complex dynamics in an SIS epidemic model induced by nonlinear incidence Document date: 2018_5_25
ID: 396rgxno_22
Snippet: (i) When R 0 < 1, we have (a) if R 0 < R * , then system (3) has no positive equilibrium; (b) if R 0 = R * and Λ > (1 − σ)/a, then system (3) has a unique positive equilibrium In the following, we discuss the local stability of E k (x k , y k ) (k = 0, 1, 2, 3, 4, 5) and present the corresponding phase portrait. By directly calculating, the Jacobian matrix at equilibrium E k is.....
Document: (i) When R 0 < 1, we have (a) if R 0 < R * , then system (3) has no positive equilibrium; (b) if R 0 = R * and Λ > (1 − σ)/a, then system (3) has a unique positive equilibrium In the following, we discuss the local stability of E k (x k , y k ) (k = 0, 1, 2, 3, 4, 5) and present the corresponding phase portrait. By directly calculating, the Jacobian matrix at equilibrium E k is
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