Figures & data
Figure 1. Condition Equation(8) hold where u<y
cr
<P
T and the horizontal line, i=((σ−1)/σ)(1−P
T), is below the maximum value of the p-nullcline, i=(r/α)(1−p)(p−u)p.
Figure 2. Condition Equation(12) holds where P
T<u<1 and the p-nullcline is below the i-nullcline.
Figure 3. In Model Equation(4), Γ
i
(straight line) is tangent to Γ
p
(cubic) and a solution (circles) with initial condition (1, 0.0001) converges to (0, 0) as t→∞. Here, α=r=0.016667, d=0.00482, σ=1.241, and u=0.2.
Figure 4. Phase plane of Model Equation(4) with two interior positive steady points and a solution (circles) with initial condition (1, 0.0001) converges to an interior fixed point as t→∞. Here, α=r=0.016667, d=0.00482, σ=1.23, and u=0.2.
Figure 5. Region of host persistence with no infected individuals (disease extinction) is denoted by ‘open squares’, region of disease persistence is denoted by ‘open circles,’ and region of host extinction is denoted by ‘asterisks’ in (u, σ)-plane with initial condition (p, i)=(1, 0.0001). Here, α=0.1, d=0.25, r=0.2, u∈(0, 0.5), and σ>1.
