RT info:eu-repo/semantics/article
T1 Numerical approximation and convergence to steady state solutions of a model for the dynamics of the sexual phase of Monogonont rotifera
A1 Abia Llera, Luis María
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
K1 Age-structured population model
K1 Continuous–discrete dynamics
K1 Asymptotic behavior
K1 Monogonont rotifera
K1 Numerical methods
K1 Unbounded age
K1 1206.13 Ecuaciones Diferenciales en Derivadas Parciales
AB We consider the numerical approximation of the asymptotic behavior of an age-structured compartmentalpopulation model for the dynamics of the sexual phase of Monogonont rotifera. To cope with the difficultiesof the infinite lifespan in long-time simulations, the main approach introduces a second order numericaldiscretization of a reformulation of the model problem in terms of a new computational size variable thatevolves with age. The main contribution is to establish second order of convergence of the steady-state solutionsof the discrete equations to the theoretical steady states of the continuous age-structured population model.Moreover, we report numerical evidence of a threshold for the male–female encounter rate parameter in themodel after which the steady solution becomes unstable and a stable limit cycle appears in the dynamics.Finally, we confirm the effectiveness of the numerical technique we propose, when considering long-timeintegration of age-structured population models with infinite lifespan.
PB Elsevier
SN 0960-0779
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/82304
UL https://uvadoc.uva.es/handle/10324/82304
LA spa
NO Chaos, Solitons and Fractals, 2025, vol 191, n 115844
NO Producción Científica
DS UVaDOC
RD 29-ene-2026