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The asymptotic behavior when species interaction does not depend on age is completely determined through the age-profile and a predator-prey limit system of ODEs (ordinary differential equations). The appearance of a Hopf bifurcation is shown for a biologically meaningful age-dependent interaction, where the system transitions from a stable coexistence equilibrium to a collection of periodic orbits around it, and eventually to a stable limit cycle (isolated periodic orbit). Several explicit analytical solutions are used to test the accuracy of the proposed computational methods.<\/p><\/abstract><\/jats:p>","DOI":"10.3934\/mbe.2023696","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T07:07:38Z","timestamp":1690528058000},"page":"15603-15622","source":"Crossref","is-referenced-by-count":7,"title":["Numerical approach to an age-structured Lotka-Volterra model"],"prefix":"10.3934","volume":"20","author":[{"given":"Jordi","family":"Ripoll","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jordi","family":"Font","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2023696-1","unstructured":"M. Iannelli, F. 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