Model Mathematics

Component: environment

Component: uninfected_CD4

ddtimeT=s_V-mu_TT+rT1-T+T_1T_max-k_1VT-k_1_V_T s_V=s_0thetatheta+V

Component: latently_infected_CD4

ddtimeT_1=k_1VT+k_1_V_T-mu_TT_1-k_2T_1

Component: actively_infected_CD4

ddtimeT_2=k_2T_1-k_1DDT_2-mu_bT_2

Component: actively_coinfected_CD4

ddtimeT_D2=k_1DDT_2-k_sT_D2-mu_bDT_D2

Component: stably_coinfected_CD4

ddtimeT_D1=k_sT_D2-mu_TDT_D1

Component: DIV

D=0iftime<t_DIVD_odeotherwise ddtimeD_ode=D_0t_DIViftime<t_DIVN_D_tmu_bDT_D2+pi_D_tT_D1-mu_DD_odeotherwise N_D_t=0.2N_t pi_D_t=0.5mu_bN_t

Component: HIV1

ddtimeV=N_tmu_bT_2+N_2_tmu_bDT_D2-k_1VT-mu_VV N_2_t=0.1N_t

Component: hybrid_HIV1

ddtimeV_=N_t_mu_bDT_D2+pi_t_T_D1-mu_VV_-k_1_TV_ N_t_=0.1N_t pi_t_=0.01mu_bN_t

Component: production_function

N_t=N_01+gammatime2time2+t_c2

Component: cell_population

T_tot=T+T_1+T_2+T_D2+T_D1