| Abstract: |
| This report will focus on the basic reproduction ratio in homogeneous evolutionary systems, particularly investigating the equivalence between the basic reproduction ratio and the stability of the corresponding homogeneous system, as well as methods for numerically computing this ratio. The main difficulties will be addressed in the following two aspects: the invariance of homogeneous mappings does not guarantee order-preserving; the cone spectral radius of a compact, positively order-preserving homogeneous mapping may not be continuous. |
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