Model Mathematics

Component: environment

Component: uninfected_CD4

ddtimeT=s_V-mu_TT+rT1-T+T_1T_max-k_1VT-k_1_V_Ts_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

ddtimeD=N_D_tmu_bDT_D2+pi_D_tT_D1-mu_DDN_D_t=0.2N_tpi_D_t=0.3mu_bN_t

Component: HIV1

ddtimeV=N_tmu_bT_2+N_2_tmu_bDT_D2-k_1VT-mu_VVN_2_t=0.6N_t

Component: hybrid_HIV1

ddtimeV_=N_t_mu_bDT_D2+pi_t_T_D1-mu_VV_-k_1_TV_N_t_=0.2N_tpi_t_=0.1mu_bN_t

Component: production_function

N_t=N_01+gammatime2time2+t_c2

Component: cell_population

T_tot=T+T_1+T_2