We introduce various models for cellulose bio-degradation by micro-organisms. Those models rely on complex chemical mechanisms, involve the structure of the cellulose chains and are allowed to depend on the phenotypical traits of the population of micro-organisms. We then use the corresponding models in the context of multiple-trait populations. This leads to classical, logistic type, reproduction rates limiting the growth of large populations but also, and more surprisingly, limiting the growth of populations which are too small in a manner similar to the effects seen in populations requiring cooperative interactions (or sexual reproduction). This study thus offers a striking example of how some mechanisms resembling cooperation can occur in structured biological populations, even in the absence of any actual cooperation.
Accepté le :
DOI : 10.1051/m2an/2017021
Mots clés : Mathematical biology, structured population dynamics
@article{M2AN_2017__51_6_2289_0, author = {Jabin, Pierre-Emmanuel and Miroshnikov, Alexey and Young, Robin}, title = {Cellulose biodegradation models; an example of cooperative interactions in structured populations}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis }, pages = {2289--2318}, publisher = {EDP-Sciences}, volume = {51}, number = {6}, year = {2017}, doi = {10.1051/m2an/2017021}, zbl = {1382.92185}, mrnumber = {3745173}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an/2017021/} }
TY - JOUR AU - Jabin, Pierre-Emmanuel AU - Miroshnikov, Alexey AU - Young, Robin TI - Cellulose biodegradation models; an example of cooperative interactions in structured populations JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2017 SP - 2289 EP - 2318 VL - 51 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2017021/ DO - 10.1051/m2an/2017021 LA - en ID - M2AN_2017__51_6_2289_0 ER -
%0 Journal Article %A Jabin, Pierre-Emmanuel %A Miroshnikov, Alexey %A Young, Robin %T Cellulose biodegradation models; an example of cooperative interactions in structured populations %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2017 %P 2289-2318 %V 51 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2017021/ %R 10.1051/m2an/2017021 %G en %F M2AN_2017__51_6_2289_0
Jabin, Pierre-Emmanuel; Miroshnikov, Alexey; Young, Robin. Cellulose biodegradation models; an example of cooperative interactions in structured populations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2289-2318. doi : 10.1051/m2an/2017021. http://www.numdam.org/articles/10.1051/m2an/2017021/
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