Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term
نویسندگان
چکیده
منابع مشابه
Spreading-vanishing Dichotomy in a Diffusive Logistic Model with a Free Boundary, Ii
We study the diffusive logistic equation with a free boundary in higher space dimensions and heterogeneous environment. Such a model may be used to describe the spreading of a new or invasive species, with the free boundary representing the expanding front. For simplicity, we assume that the environment and the solution are radially symmetric. In the special case of one space dimension and homo...
متن کاملErratum: Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
Propositions 4.1 and 4.3 in [Yihong Du and Zhigui Lin, SIAM J. Math. Anal., 42 (2010), pp. 377–405] contain some mistakes. In this erratum, we point out the correct versions of these results.
متن کاملLocalization Phenomena in a Degenerate Logistic Equation
We analyze the behavior of positive solutions of elliptic equations with a degenerate logistic nonlinearity and Dirichlet boundary conditions. Our results concern existence and strong localization in the spatial region in which the logistic nonlinearity cancels. This type of nonlinearity has applications in the nonlinear Schrodinger equation and the study of Bose-Einstein condensates. In this c...
متن کاملIn Logistic Regression Model
Logistic regression with binary and multinomial outcomes is commonly used, and researchers have long searched for an interpretable measure of the strength of a particular logistic model. This article describes the large sample properties of some pseudo-R statistics for assessing the predictive strength of the logistic regression model. We present theoretical results regarding the convergence an...
متن کاملMultiple Logistic Regression and Model Fit Multiple Logistic Regression Just as in OLS regression, logistic models
Multiple Logistic Regression Just as in OLS regression, logistic models can include more than one predictor. The analysis options are similar to regression. One can choose to select variables, as with a stepwise procedure, or one can enter the predictors simultaneously, or they can be entered in blocks. Variations of the likelihood ratio test can be conducted in which the chi-square test (G) is...
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: Boundary Value Problems
سال: 2014
ISSN: 1687-2770
DOI: 10.1186/s13661-014-0180-9