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Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 12, pp. 8873 - 8915
Journal Article
Dianli Xitong Baohu yu Kongzhi/Power System Protection and Control, ISSN 1674-3415, 04/2017, Volume 45, Issue 8, pp. 107 - 112
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2019, Volume 266, Issue 7, pp. 3973 - 4017
This work studies the threshold dynamics and ergodicity of a stochastic SIRS epidemic model with the disease transmission rate driven by a semi-Markov process.... 
Basic reproduction number | Invariant probability measure | Ergodicity | Stochastic stability | Epidemic model | Semi-Markov switching | LOTKA-VOLTERRA | HUMIDITY | STABILITY | PERSISTENCE | DIFFERENTIAL-EQUATIONS | MATHEMATICS | PERMANENCE | MEDIA | EXTINCTION
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 1, pp. 438 - 464
In this study, we consider the effect of jump-diffusion random environmental perturbations on the permanence and extinction of a single-species dispersal... 
Permanence | Extinction | Jump | Dispersal | Stochastic perturbation | MATHEMATICS, APPLIED | PERSISTENCE | STABILITY | VOLTERRA POPULATION-DYNAMICS | EQUATIONS | STOCHASTIC-MODEL | MATHEMATICS | INFINITE DELAY | GROWTH | Analysis | Extinction (Biology)
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 2014, Volume 2014
An SIRS model incorporating a general nonlinear contact function is formulated and analyzed. When the basic reproduction number R-0 < 1, the disease-free... 
MATHEMATICS, APPLIED | GLOBAL-STABILITY | DISEASE | Control | Communicable diseases | Media coverage | Ordinary differential equations | Disease | Equilibrium | Recruitment
Journal Article
Journal of Applied Mathematics, ISSN 1110-757X, 2014, Volume 2014, pp. 1 - 16
We consider a SVR-B cholera model with imperfect vaccination. By analyzing the corresponding characteristic equations, the local stability of a disease-free... 
MATHEMATICS, APPLIED | NUMBERS | EPIDEMIC | PERSISTENCE | VIBRIO-CHOLERAE | Usage | Mathematical analysis | Vaccination | Analysis | Vibrio cholerae | Models | Research | Ordinary differential equations | Infections | Mathematical models | Vaccines | Sanitation | Sensitivity analysis | Stability | Communities | Asymptotic properties | Cholera | Diseases
Journal Article
Journal of Applied Mathematics, ISSN 1110-757X, 2014, Volume 2014, pp. 1 - 16
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 09/2015, Volume 20, Issue 7, pp. 2069 - 2088
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 317, Issue 2, pp. 464 - 474
In this paper we study permanence, extinction and periodic solution of periodic predator–prey system with Beddington–DeAngelis functional response. We provide... 
Predator–prey | Permanence | Periodic solution | Extinction | Beddington–DeAngelis functional response | Beddington-DeAngelis functional response | Predator-prey | periodic solution | MATHEMATICS | MATHEMATICS, APPLIED | extinction | MODELS | predator-prey | PERSISTENCE | DYNAMICS | permanence | Universities and colleges
Journal Article
Advances in Bioscience and Biotechnology, ISSN 2156-8456, 03/2013, Volume 4, Issue 3, pp. 388 - 388
In this paper, we consider a SVIR-B cholera model with imperfect vaccination. By analyzing the corre- sponding characteristic equations, the local asymp-... 
Journal Article
MATHEMATICAL BIOSCIENCES AND ENGINEERING, ISSN 1547-1063, 2019, Volume 16, Issue 5, pp. 3936 - 3946
In this paper, the SEW model is generalized by introducing an asymptomatic class to quantify the influence of wearing N95 facemasks in reducing the spread of... 
pandemic influenza | asymptomatic class | the final epidemic size | facemasks | MATHEMATICAL & COMPUTATIONAL BIOLOGY
Journal Article
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 2006, Volume 44, Issue 11, pp. 1126 - 1132
This paper considers a periodic predator–prey system where the prey has a life history that takes the prey through two stages: immature and mature. We provide... 
Predator–prey system | Permanence | Extinction | Stage structure | Predator-prey system | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | extinction | stage structure | POPULATION-GROWTH | predator-prey system | permanence | MODEL | TIME-DELAY | Mortality
Journal Article
by Cui, J and Ying, CC and Guo, SB and Zhang, Y and Sun, LM and Zhang, M and He, JF and Song, T
MATHEMATICAL BIOSCIENCES AND ENGINEERING, ISSN 1547-1063, 2019, Volume 16, Issue 5, pp. 4594 - 4606
To explore the effects of propaganda and education on the prevention and control of AIDS infection, a model of AIDS transmission in MSM population is proposed... 
HIV/AIDS | MSM | MATHEMATICAL & COMPUTATIONAL BIOLOGY | media impact factor
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2004, Volume 298, Issue 1, pp. 73 - 93
This paper studies the effect of dispersal on the permanence of population models in poor patchy environment. We first consider the logistic system with... 
Predator–prey system | Permanence | Periodic solution | Dispersal | Predator-prey system | 2 HABITATS | MATHEMATICS, APPLIED | GLOBAL STABILITY | PERSISTENCE | BEHAVIOR | dispersal | PREDATOR | periodic solution | MATHEMATICS | PREY DISPERSAL | EVOLUTION | COMPETITION | DYNAMICS | predator-prey system | permanence | DIFFUSION-MODELS
Journal Article
Applied Sciences (Switzerland), ISSN 2076-3417, 2016, Volume 6, Issue 5, p. 151
Journal Article
Journal of Dynamics and Differential Equations, ISSN 1040-7294, 12/2019, Volume 31, Issue 4, pp. 2145 - 2163
One of the unique features of bacterial diseases such as pertussis is the possibility of multiple infections during a lifetime. Immunity gained after each... 
Ordinary Differential Equations | Multiple infections of pertussis | Age-structured epidemiological model | Global asymptotic stability | Mathematics | Applications of Mathematics | Age-dependent probability of infection | Partial Differential Equations | Partial differential equations
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 2005, Volume 42, Issue 1, pp. 87 - 98
In this paper, we study the permanence, extinction, and periodic solution of periodic predator-prey system. We assume the Holling Type II functional response... 
Periodic coefficient | Permanence | Extinction | Predator-prey system | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | periodic coefficient | extinction | PERSISTENCE | predator-prey system | permanence
Journal Article
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