@article{fdi:010037749, title = {{A} parity-structured matrix model for tsetse populations}, author = {{A}rtzrouni, {M}. and {G}outeux, {J}ean-{P}aul}, editor = {}, language = {{ENG}}, abstract = {{A} matrix model is used to describe the dynamics of a population of female tsetse flies structured by parity (i.e., by the number of larvae laid). {F}or typical parameter values, the intrinsic growth rate of the population is zero when the adult daily survival rate is 0.970, corresponding to an adult life expectancy of 1/0.030 = 33.3 days. {T}his value is plausible and consistent with results found earlier by others. {T}he intrinsic growth rate is insensitive to the variance of the interlarval period. {T}emperature being a function of the time of the year, a known relationship between temperature and mean pupal and interlarval times was used to produce a time-varying version of the model which was fitted to temperature and (estimated) population data. {W}ith well-chosen parameter values, the modeled population replicated at least roughly the population data. {T}his illustrates dynamically the abiotic effect of temperature on population growth. {G}iven that tsetse flies are the vectors of trypanosomiasis ("sleeping sickness") the model provides a framework within which future transmission models can be developed in order to study the impact of altered temperatures on the spread of this deadly disease.}, keywords = {matrix model ; tsetse ; parity ; nonnegative matrix}, booktitle = {}, journal = {{M}athematical {B}iosciences}, volume = {204}, numero = {2}, pages = {215--231}, ISSN = {0025-5564}, year = {2006}, DOI = {10.1016/j.mbs.2006.08.022}, URL = {https://www.documentation.ird.fr/hor/fdi:010037749}, }