Results 41 to 50 of about 427 (162)
ON THE OBSERVABILITY AND STATE ESTIMATION IN A CLASS OF GENE-EXPRESSION SYSTEM
Dynamic systems and applications, 2018 The failure of available physical sensors for the online measurement of protein concentration in cells is a key problem to understanding the transition in bio-systems.
R. Aguilar‐López, J. Mata-Machuca
semanticscholar +1 more source
Open Mathematics, 2019 In this paper, we consider a Beddington-DeAngelis predator-prey system with stage structure for predator and time delay incorporating prey refuge. By analyzing the characteristic equations, we study the local stability of the equilibrium of the system ...
Xiao Zaowang +3 more
doaj +1 more source
Infectious Disease Modelling, 2021 Syphilis, a sexually transmitted infectious disease caused by the bacterium treponema pallidum, has re-emerged as a global public health issue with an estimated 12 million people infected each year.
Wenjun Jing +3 more
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Effect of randomly fluctuating environment on autotroph‐herbivore model system
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004 First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
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Stability of a secondary dengue viral infection model with multi-target cells
Alexandria Engineering Journal, 2022 Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh +2 more
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Subthreshold domain of bistable equilibria for a model of HIV epidemiology
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 58, Page 3679-3698, 2003., 2003 A homogeneous‐mixing population model for HIV transmission, which incorporates an anti‐HIV preventive vaccine, is studied qualitatively. The local and global stability analysis of the associated equilibria of the model reveals that the model can have multiple stable equilibria simultaneously.
B. D. Corbett +2 more
wiley +1 more source
Exploring the dynamics of Monkeypox: A fractional order epidemic model approach
Journal of Applied Mathematics and Computational Mechanics. We present a mathematical model employing nonlinear fractional differential equations to investigate the transmission of disease from rodents to humans.
I. Baba, E. Hıncal, F. Rihan
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Advances in Differential Equations, 2013 A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived.
Shuang Li, Xinan Zhang
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The generalized Turner‐Bradley‐Kirk‐Pruitt equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 73-80, 2002., 2002 Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner‐Bradley‐Kirk‐Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The chief novelty consists in exploiting the value set of the equation, that is, the set of values taken on
Ray Redheffer
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An epidemic model with density dependent parameters and vaccination
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 805-814, 1996., 1994 A model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size. The purpose of this study is to see the effect of this density dependent transmission coefficient on the stability criteria for the ...
Q. J. A. Khan, B. S. Bhatt
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