@article{awastewaterbasedharmlessdelay, title = {The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19}, author = {Bruce Pell and Samantha Brozak and Tin Phan and Fuqing Wu and Yang Kuang}, year = {2022}, eprint = {2209.07563}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2209.07563v2}, }