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

Table 3

We take 𝑟=0.01,  𝑛_rt=0.5,  𝑛_𝑝=0.25,  𝑁=100,  𝐸₀=(500,0,0), and 𝑎=(√𝑟−𝑘(1−𝑛_rt)𝐶)²/𝜇₁, and we have the following.

(a)  

Line	𝐶	𝑘(1−𝑛rt)𝐶	1−𝑎	𝑅0	𝐸^∗1	𝐸^∗2
14	10	0.0001	0.6035	1.0607	(444.4444, 21.2037, 1033.6821)	Not exist
15	100	0.0012	0.7864	1.0607	(444.4444, 19.7599, 963.2939)	Not exist
16	300	0.0036	0.9200	1.0607	(444.4444, 16.7808, 818.0663)	Not exist
17	500	0.0060	0.9746	1.0607	(444.4444, 14.1982, 692.1614)	Not exist
18	700	0.0084	0.9965	1.0607	(444.4444, 12.0858, 589.1841)	Not exist
19	830	0.0100	1.0000	1.0607	(444.4444, 10.9728, 534.9223)	Not exist
20	900	0.0108	0.9992	1.0607	(444.4444, 10.4534, 509.6013)	Not exist

(b)  

Line	𝐷(𝜆)	𝐴+𝐵	𝐶+𝐷	𝐸+𝐹	(𝐴+𝐵)(𝐶+𝐷)	Stability
14	−0.5531	2.6825	0.0550	0.0077	0.1477	(ii)
15	−0.4782	2.6825	0.0551	0.0067	0.1477	(ii)
16	−0.3449	2.6825	0.0550	0.0049	0.1477	(ii)
17	−0.2523	2.6825	0.0550	0.0037	0.1477	(ii)
18	−0.1926	2.6825	0.0551	0.0029	0.1477	(ii)
19	−0.1668	2.6825	0.0550	0.0025	0.1477	(ii)
20	−0.1561	2.6825	0.0550	0.0024	0.1477	(ii)