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Original Articles

On the global stability of a generalized cholera epidemiological model

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Pages 1088-1104 | Received 16 Jan 2012, Accepted 31 Aug 2012, Published online: 30 Oct 2012

Figures & data

Figure 1. A phase portrait of S vs I for the cholera model Equation(16)–(19). The total population is N=10, 000, and the initial condition is I(0)=1000, S(0)=9000 and R(0)=B(0)=0. The curve converges to the endemic equilibrium at S* ≈ 1510, I* ≈ 2.68. Similar pattern is observed for various different initial conditions.

Figure 1. A phase portrait of S vs I for the cholera model Equation(16)–(19). The total population is N=10, 000, and the initial condition is I(0)=1000, S(0)=9000 and R(0)=B(0)=0. The curve converges to the endemic equilibrium at S* ≈ 1510, I* ≈ 2.68. Similar pattern is observed for various different initial conditions.

Figure 2. A phase portrait of S vs I for the cholera model (49)–(53). The total population is N=10, 000, and the initial condition is I(0)=1000, S(0)=9000, and R(0)=B H (0)=B H(0)=0. The curve converges to the endemic equilibrium at S* ≈ 7666 and I* ≈ 0.92. Similar pattern is observed for various different initial conditions.

Figure 2. A phase portrait of S vs I for the cholera model (49)–(53). The total population is N=10, 000, and the initial condition is I(0)=1000, S(0)=9000, and R(0)=B H (0)=B H(0)=0. The curve converges to the endemic equilibrium at S* ≈ 7666 and I* ≈ 0.92. Similar pattern is observed for various different initial conditions.