Public parks management via mathematical tools

Mice in Wonderforest: Understanding mast seeding through individual-based modelling

“…Since recovering from drops took time, mice spent most of the time between two consecutive masting events at below average levels. This population dynamics is similar to the one observed in theoretical studies and laboratory experiments supporting the paradox of enrichment concept (Huffaker et al, 1963;Luckinbill, 1974;Chatterjee and Venturino, 2008;Bravo and Tamburino, 2011;Tamburino and Venturino, 2012).…”

Positive constrained approximation via RBF-based partition of unity method

“…In particular, K 1 , K 2 , c and g are measured in biomass, e, f , α and β are pure numbers, µ, r 1 , r 2 , a and b are rates. For the study of critical points and their stability, refer to [34]. The equilibrium that play a role in this investigation is the coexistence equilibrium point E * = (H * , G * , T * ).…”

“…We test the model considering the natural park of the Dolomiti Bellunesi located in the Northern Italy. To estimate the parameters, we refer to [17,34]. Basing our considerations on data related to the number of herbivores, the extension of the park and following tables providing the estimation of the annual net primary production of several environments shown in [17], we can fix µ = 0.03, r 1 = 0.01, r 2 = 0.0006, α = 0.05 −1 , β = 8, e = 0.605, f = 0.001, K 1 = 3469640.64, K 2 = 15695993.39, c = 101862.16 and g = 1001229580.18.…”

Fast and flexible interpolation via PUM with applications in population dynamics

“…Because of the high flexibility of this splitting-data routine, such method can be employed to approximate surfaces defined on irregular domains, as surfaces arising from problems in population dynamics. Specifically, an application in the context of wild herbivores in forests is considered, [6,8,9]. We study the case of a natural park located in the Northern Italy.…”