TY - JOUR
T1 - Schistosomiasis models with two migrating human groups
AU - Feng, Z.
AU - Li, C. C.
AU - Milner, F. A.
N1 - Funding Information:
This research was supported in part by NSF Grant DMS-9974389.
PY - 2005/5
Y1 - 2005/5
N2 - We propose, in this paper, models of schistosomiasis that incorporate several realistic features including two human habitats, migration between these, negative binomial distribution of schistosomes within human hosts, disease-induced mortality in both human and snail hosts, and others. The qualitative and quantitative mathematical properties are analyzed. Numerical simulations help examine the dynamics and suggest some properties of these models that we were unable to prove mathematically. Partial results are extended to models with multiple human groups, and numerical simulations also support the results. Explicit thresholds for the survival of schistosomes are established. Control strategies derived from these thresholds are also discussed.
AB - We propose, in this paper, models of schistosomiasis that incorporate several realistic features including two human habitats, migration between these, negative binomial distribution of schistosomes within human hosts, disease-induced mortality in both human and snail hosts, and others. The qualitative and quantitative mathematical properties are analyzed. Numerical simulations help examine the dynamics and suggest some properties of these models that we were unable to prove mathematically. Partial results are extended to models with multiple human groups, and numerical simulations also support the results. Explicit thresholds for the survival of schistosomes are established. Control strategies derived from these thresholds are also discussed.
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U2 - 10.1016/j.mcm.2004.10.023
DO - 10.1016/j.mcm.2004.10.023
M3 - Article
AN - SCOPUS:26844582811
SN - 0895-7177
VL - 41
SP - 1213
EP - 1230
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
IS - 11-12
ER -