id: 05645058
dt: j
an: 2009f.00653
au: Fanta, Giulia; Nowakowski, Brian
ti: Modeling the effects of fragmented habitats on Costa Rican jaguar
populations.
so: Pi Mu Epsilon J. 12, No. 10, 593-602 (2009).
py: 2009
pu: Worcester Polytechnic Institute (WPI), Mathematical Sciences, Worcester, MA
la: EN
cc: M60 I70 K90
ut: mathematical applications; biology; population dynamics; ecology; dynamical
systems; mathematical models; deterministic model; stochastic model;
equilibrium; Jacobian matrix; migration
ci:
li:
ab: From the introduction: In recent years, biodiversity in Costa Rica has
suffered a dramatic decline, due largely to habitat loss and
fragmentation. In particular, this has had a severe effect on jaguar
(Panthera onca) populations, which require vast expanses of territory
in order to thrive. One of the most promising solutions proposed for
fragmented ecosystems (both Costa Rican and otherwise) is that of
connecting viable habitat patches with “corridors.” However,
habitat restoration is often expensive, and corridor efficacy is not
well known. Costa Rican jaguars in particular have been studied
empirically for many years, but there have been no attempts to model
the population mathematically to our knowledge. This makes it difficult
to predict the effects of conservation policy on population levels. The
objective of this study is to lay the framework for a model of Costa
Rican jaguar populations and subsequently examine the effects of
wildlife corridors on population dynamics in patchy habitats. We will
first explain the structure of our population model, both for a single
patch and two-patch habitat. We then implement and analyze the model
deterministically and stochastically. We will compare the effects of
patch connectivity and carrying capacity on jaguar populations and
suggest future directions for study.
rv: