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On the one hand, we prove under mild regularity assumptions on the models coefficients that the concerned operators are compact, so that the problem can be properly recast as an eigenvalue problem thus allowing for numerical discretization. On the other hand, we prove through detailed and rigorous error and convergence analyses that the method performs the expected spectral accuracy. Several numerical tests validate the proposed analysis by highlighting diverse peculiarities of the investigated approach.<\/jats:p>","DOI":"10.1007\/s10915-020-01339-1","type":"journal-article","created":{"date-parts":[[2020,10,31]],"date-time":"2020-10-31T07:03:01Z","timestamp":1604127781000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations"],"prefix":"10.1007","volume":"85","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4641-1126","authenticated-orcid":false,"given":"Dimitri","family":"Breda","sequence":"first","affiliation":[]},{"given":"Toshikazu","family":"Kuniya","sequence":"additional","affiliation":[]},{"given":"Jordi","family":"Ripoll","sequence":"additional","affiliation":[]},{"given":"Rossana","family":"Vermiglio","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,31]]},"reference":[{"key":"1339_CR1","doi-asserted-by":"publisher","DOI":"10.1002\/mma.6787","author":"C Barril","year":"2020","unstructured":"Barril, C., Calsina, A., Cuadrado, S., Ripoll, J.: On the basic reproduction number in continuously structured populations. 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