Bifurcation analysis of a spruce budworm model with diffusion and physiological structures
نویسندگان
چکیده
منابع مشابه
Entire solutions of the spruce budworm model
Here N is the spruce budworm population density, rB is the linear birth rate of the budworm and KB is the carrying capacity which is related to the density of foliage available on the trees. The P(N)-term represents predation, generally by birds. To be specific, we take the form for P(N) suggested by Ludwig et al., namely BN2 A2+N2 , where A and B are positive constants, and the dynamics of N(t...
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
BIFURCATION ANALYSIS OF A DDE MODEL OF THE CORAL REEF
In this paper, first we discuss a local stability analysis of model was introduced by P. J. Mumby et. al. (2007), with $frac{gM^{2}}{M+T}$ as the functional response term. We conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef. Next, we consider this model under the influence of the time delay as the bifurcat...
متن کاملWestern Spruce Budworm Outbreak History
Western spruce budworm (Choristoneura occidentalis Freeman) outbreak history was reconstructed for the Sacramento Mountains of south -central New Mexico, at the southern limit of the species distribution range. Six host tree -ring width chronologies (Douglas -fir and white fir) and three non -host control chronologies (ponderosa pine) were used for this reconstruction spanning from 1800 to 1990...
متن کاملA mathematical analysis of Jones:s site model for spruce budworm infestations
The budworm site model of Jones (1979) is a complicated representation of the interaction between the spruce budworm and the forests of Northeastern Canada, which describes the way in which the budworm population undergoes periodic outbreaks, which lead to severe defoliation and widespread tree mortality. We show how this model can be systematically simpli"ed without gainsaying the essential de...
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: Journal of Differential Equations
سال: 2017
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.01.023