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Remarks on stochastic permanence of population models
Journal of Mathematical Analysis and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingliang Lv, Xiaoling Zou
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Note on the permanence of stochastic population models
Random Operators and Stochastic Equations, 2019Abstract The concept of permanence of any system is an important technical issue. This concept is very significant to all kind of systems, e.g., social, medical, biological, population, mechanical, or electrical. It is desirable by scientists and investigators that any system under consideration must be long time survival. For example,
Shashi Kant
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Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching [PDF]
In this paper, we prove that a stochastic logistic population under regime switching controlled by a Markov chain is either stochastically permanent or extinctive, and we obtain the sufficient and necessary conditions for stochastic permanence and ...
Xiaoyue Li, Alison Gray, Xuerong Mao
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Permanence and extinction of a stochastic hybrid model for tumor growth
Applied Mathematics Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng Liu, Meiling Deng
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Permanence of Stochastic Lotka–Volterra Systems
Journal of Nonlinear Science, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng Liu 0002, Meng Fan
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STOCHASTIC PERMANENCE AND EXTINCTION OF AN EPIDEMIC MODEL WITH SATURATED TREATMENT
Journal of Biological Systems, 2023We propose and study the transmission dynamics of susceptible-exposed-infected-recovered [Formula: see text] epidemic model with saturated treatment function. We consider saturated treatment function in the epidemic system to understand the effect of delayed treatment on the disease transmission. The indiscriminately perturbation which is considered as
PRASENJIT MAHATO +2 more
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Permanent Preservers on the Space of Doubly Stochastic Matrices
Canadian Journal of Mathematics, 1962Let Mn be the linear space of n-square matrices with real elements. For a matrix X = (xij) ∈ Mn the permanent is defined bywhere σ runs over all permutations of 1, 2, …, n. In (2) Marcus and May determine the nature of all linear transformations T of Mn into itself such that per T(X) = per X for all X ∈ Mn.
Moyls, B. N. +2 more
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Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises
This paper focuses on a stochastic SIR model with Beddington–DeAngelis functional response, perturbed by a complex type of noises. By introducing a threshold, sufficient and almost necessary conditions for permanence and extinction of the disease are ...
Nguyen Huu Du
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On the Permanent of a Doubly Stochastic Matrix
Canadian Journal of Mathematics, 1966If is an n X n matrix, the permanent of A, Per A, is defined by1where the sum is over all permutations. If A is doubly stochastic (i.e., nonnegative with row and column sums all equal to 1), then it has been conjectured that Per A ⩾ n!/nn. When confronted with a vaguely similar problem about determinants, M.
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Permanents of Random Doubly Stochastic Matrices
Canadian Journal of Mathematics, 1974The permanent of ann×nmatrixA= (aij) is defined aswhereSnis the symmetric group of ordern. For a survey article on permanents the reader is referred to [2]. An unresolved conjecture due to van der Waerden states that ifAis ann×ndoubly stochastic matrix; then per (A) ≧n!/nn, with equality if and only ifA=Jn= (1/n).
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