Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4⁺ T-Cell Proliferation under Antiretroviral Therapy

Table 4

We take 𝐶=10,  𝑛_rt=0.5,  𝑛_𝑝=0.25,  𝑁=100,  𝐸₀=(500,0,0), and 𝑎=(√𝑟−𝑘(1−𝑛_rt)𝐶)²/𝜇₁, we give the following.

(a)  

Line	𝑟	𝑘(1−𝑛rt)𝐶	1−𝑎	𝑅0	𝐸^∗1	𝐸^∗2
21	0	0.0001	0.9940	1.0607	(444.4444, 4.2735, 208.3333)	Not exist
22	0.004	0.0001	0.8632	1.0607	(444.4444, 10.9858, 535.5567)	Not exist
23	0.008	0.0001	0.6920	1.0607	(444.4444, 17.7929, 867.4018)	Not exist
24	0.015	0.0001	0.3782	1.0607	(444.4444, 29.7389, 1449.7703)	Not exist
25	0.019	0.0001	0.1950	1.0607	(444.4444, 36.5710, 1782.8352)	Not exist

(b)  

Line	𝐷(𝜆)	𝐴+𝐵	𝐶+𝐷	𝐸+𝐹	(𝐴+𝐵)(𝐶+𝐷)	Stability
21	−0.0952	2.6825	0.0550	0.0016	0.1477	(ii)
22	−0.2749	2.6825	0.0551	0.0040	0.1477	(ii)
23	−0.4600	2.6825	0.0550	0.0064	0.1477	(ii)
24	−0.7866	2.6825	0.0550	0.0108	0.1477	(ii)
25	−0.9740	2.6825	0.0550	0.0550	0.1477	(ii)