Comput Math Methods Med - Modeling schistosomiasis and HIV/AIDS codynamics.

Tópicos

{ model(3480) simul(1196) paramet(876) }
{ drug(1928) target(777) effect(648) }
{ error(1145) method(1030) estim(1020) }
{ studi(1119) effect(1106) posit(819) }
{ method(1969) cluster(1462) data(1082) }
{ system(1976) rule(880) can(841) }
{ motion(1329) object(1292) video(1091) }
{ treatment(1704) effect(941) patient(846) }
{ case(1353) use(1143) diagnosi(1136) }
{ studi(1410) differ(1259) use(1210) }
{ visual(1396) interact(850) tool(830) }
{ state(1844) use(1261) util(961) }
{ age(1611) year(1155) adult(843) }
{ cost(1906) reduc(1198) effect(832) }
{ gene(2352) biolog(1181) express(1162) }
{ problem(2511) optim(1539) algorithm(950) }
{ algorithm(1844) comput(1787) effici(935) }
{ method(984) reconstruct(947) comput(926) }
{ howev(809) still(633) remain(590) }
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{ data(3008) multipl(1320) sourc(1022) }
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{ patient(2315) diseas(1263) diabet(1191) }
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{ patient(2837) hospit(1953) medic(668) }
{ model(2656) set(1616) predict(1553) }
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{ medic(1828) order(1363) alert(1069) }
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{ sampl(1606) size(1419) use(1276) }
{ intervent(3218) particip(2042) group(1664) }
{ activ(1138) subject(705) human(624) }
{ time(1939) patient(1703) rate(768) }
{ patient(1821) servic(1111) care(1106) }
{ can(981) present(881) function(850) }
{ analysi(2126) use(1163) compon(1037) }
{ health(1844) social(1437) communiti(874) }
{ structur(1116) can(940) graph(676) }
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{ estim(2440) model(1874) function(577) }
{ decis(3086) make(1611) patient(1517) }
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{ activ(1452) weight(1219) physic(1104) }
{ method(2212) result(1239) propos(1039) }

Resumo

We formulate a mathematical model for the cointeraction of schistosomiasis and HIV/AIDS in order to assess their synergistic relationship in the presence of therapeutic measures. Comprehensive mathematical techniques are used to analyze the model steady states. The disease-free equilibrium is shown to be locally asymptotically stable when the associated disease threshold parameter known as the basic reproduction number for the model is less than unity. Centre manifold theory is used to show that the schistosomiasis-only and HIV/AIDS-only endemic equilibria are locally asymptotically stable when the associated reproduction numbers are greater than unity. The impact of schistosomiasis and its treatment on the dynamics of HIV/AIDS is also investigated. To illustrate the analytical results, numerical simulations using a set of reasonable parameter values are provided, and the results suggest that schistosomiasis treatment will always have a positive impact on the control of HIV/AIDS.

Resumo Limpo

formul mathemat model cointeract schistosomiasi hivaid order assess synergist relationship presenc therapeut measur comprehens mathemat techniqu use analyz model steadi state diseasefre equilibrium shown local asymptot stabl associ diseas threshold paramet known basic reproduct number model less uniti centr manifold theori use show schistosomiasison hivaidson endem equilibria local asymptot stabl associ reproduct number greater uniti impact schistosomiasi treatment dynam hivaid also investig illustr analyt result numer simul use set reason paramet valu provid result suggest schistosomiasi treatment will alway posit impact control hivaid

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