Dynamics of a modified Nicholson-Bailey host-parasitoid model
نویسندگان
چکیده
منابع مشابه
Host-parasitoid dynamics of a generalized Thompson model.
A discrete-time host-parasitoid model including host-density dependence and a generalized Thompson escape function is analyzed. This model assumes that parasitoids are egg-limited but not search-limited, and is proven to exhibit five types of dynamics: host failure in which the host goes extinct in the parasitoid's presence or absence, unconditional parasitoid failure in which the parasitoid al...
متن کاملHost-feeding enhances stability of discrete-time host-parasitoid population dynamic models
Discrete-time models are the traditional approach for capturing population dynamics of a hostparasitoid system. Recent work has introduced a semi-discrete framework for obtaining model update functions that connect host-parasitoid population levels from year-to-year. In particular, this framework uses differential equations to describe the hosts-parasitoid interaction during the time of year wh...
متن کاملHeteroclinic Foliation, Global Oscillations for the Nicholson-bailey Model and Delay of Stability Loss
This paper is concerned with the classical Nicholson-Bailey model [15] defined by fλ(x, y) = (y(1 − e−x), λye−x). We show that for λ = 1 a heteroclinic foliation exists and for λ > 1 global strict oscillations take place. The important phenomenon of delay of stability loss is established for a general class of discrete dynamical systems, and it is applied to the study of nonexistence of periodi...
متن کاملHost-parasitoid spatial dynamics in heterogeneous landscapes
This paper explores the effect of spatial processes in a heterogeneous environment on the dynamics of a hostparasitoid interaction. The environment consists of a lattice of favourable (habitat) and hostile (matrix) hexagonal cells, whose spatial distribution is measured by habitat proportion and spatial autocorrelation (inverse of fragmentation). At each time step, a fixed fraction of both popu...
متن کاملDensity-dependent parasitoid recruitment per parasitized host: effects on parasitoid-host dynamics.
Models of parasitoid-host dynamics are analyzed that include direct density dependence in the host population and either parasitoid- or host-density-dependent variation in parasitoid recruitment per parasitized host (parasitoid "yield"). The principal question addressed is how these forms of density dependence in parasitoid dynamics combine with aggregated parasitism to affect the stability of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2015
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0357-2