Models of Easter Island human-resource dynamics: advances and gaps

A Merico - Frontiers in Ecology and Evolution, 2017 - frontiersin.org
Finding solutions to the entangled problems of human population growth, resource
exploitation, ecosystem degradation, and biodiversity loss is considered humanity's grand …

The effect of tree diffusion in a two-dimensional continuous model for Easter Island

B Takács, R Horváth, I Faragó - European Journal of Mathematics, 2019 - Springer
We consider a two-dimensional continuous model that describes the ecology of Easter
Island. We show that the increase of the parameter corresponding to the diffusion of trees on …

Ordinary differential equations and Easter Island: a survey of recent research developments on the relationship between humans, trees, and rats

L Koss - European Journal of Mathematics, 2019 - Springer
A survey of ordinary differential equation models investigating environmental and
sustainability issues in the history of Easter Island appeared in 2011. One of the results …

A Continuous Model for the Ecological Collapse of Easter Island

B Takács - Finite Difference Methods. Theory and Applications: 7th …, 2019 - Springer
In this article a mathematical model describing the possible events that could have lead to
the ecological catastrophe of Easter Island is extended in a way that instead of the originally …

[PDF][PDF] Operator splitting methods for the Lotka–Volterra equations

I Faragó, G Svantnerné Sebestyén - Electronic Journal of Qualitative …, 2018 - real.mtak.hu
Geometric integrators are numerical methods for differential equations that preserve
geometric properties. In this article we investigate the questions of constructing such …

A Two Dimensional Model for the Ecological Collapse of Easter Island

B Takácsa, R Horváthb, I Faragóa - 20 th European Conference on … - ecmi.bolyai.hu
In recent years numerous papers and books discussed the events that led to the
demographic collapse on Easter Island taking place in the 16th and 17th century. Most of …

[引用][C] Investigating space-dependent epidemic models and the collapse of Easter Island

BM Takács - 2021

[引用][C] Populációdinamikai modellek és matematikai vizsgálatuk

G Svantnerné Sebestyén - 2018

[引用][C] Modeling the ecological collapse of Easter Island

TB Máté