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Article
Effect of intestinal permeability and phagocytes diffusion rate on pattern structure of Crohn’s disease based on the Turing–Hopf bifurcation
The patchy inflammatory pattern in the gastrointestinal tract is one of the typical features of Crohn’s disease, and revealing the evolutionary mechanism of Crohn’s disease is helpful to further understand its...
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Article
Effects of climate change on vegetation pattern in Baotou, China
The vegetation system in arid and semi-arid regions is facing severe challenges, so it is urgent to forecast the evolution of vegetation system. Vegetation pattern dynamics can be used to qualitatively analyze...
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Article
A hierarchical intervention scheme based on epidemic severity in a community network
As there are no targeted medicines or vaccines for newly emerging infectious diseases, isolation among communities (villages, cities, or countries) is one of the most effective intervention measures. As such, ...
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Article
Two types of fairy circles coexist in a vegetation–water model
The fairy circle patterns observed in arid or semiarid areas are referred as ecological miracle, and the formation mechanisms of these beautiful landscape have triggered a protracted debate across disciplines....
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Article
Open AccessWhat is the role of aerosol transmission in SARS-Cov-2 Omicron spread in Shanghai?
The Omicron transmission has infected nearly 600,000 people in Shanghai from March 26 to May 31, 2022. Combined with different control measures taken by the government in different periods, a dynamic model was...
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Article
Spatial dynamics of a vegetation model with uptake–diffusion feedback in an arid environment
Vegetation patterns with a variety of structures is amazing phenomena in arid or semi-arid areas, which can identify the evolution law of vegetation and are typical signals of ecosystem functions. Many achieve...
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Article
Mathematical modeling and mechanisms of pattern formation in ecological systems: a review
How populations distribute in both space and time is one of the key issues in ecological systems, which can characterize the relationship between populations, space–time structure and evolution law. Consequent...
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Article
Open AccessAllosteric regulation of glutamate dehydrogenase deamination activity
Glutamate dehydrogenase (GDH) is a key enzyme interlinking carbon and nitrogen metabolism. Recent discoveries of the GDH specific role in breast cancer, hyperinsulinism/hyperammonemia (HI/HA) syndrome, and neu...
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Article
Transmission dynamics of COVID-19 in Wuhan, China: effects of lockdown and medical resources
Due to the strong infectivity of COVID-19, it spread all over the world in about three months and thus has been studied from different aspects including its source of infection, pathological characteristics, d...
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Article
Spatiotemporal dynamics of a vegetation model with nonlocal delay in semi-arid environment
Vegetation patterns can reflect the spatial distribution of vegetation in both space and time. In semi-arid regions, the absorption of water by vegetation is a nonlocal process meaning that its roots can absor...
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Article
Qualitative analysis of a diffusive Crowley–Martin predator–prey model: the role of nonlinear predator harvesting
In this paper, we discuss a diffusive predator–prey system with mutually interfering predator and nonlinear harvesting in predator with Crowley–Martin functional response. The mathematical analysis of the syst...
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Article
Pattern dynamics of a Gierer–Meinhardt model with spatial effects
Interactions of activator and inhibitor can be widely applied in different fields. As a result, dynamical behaviors of an activator–inhibitor model with different sources are investigated. We obtained the cond...
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Article
Mathematical modeling of population dynamics with Allee effect
Allee effect that refers to a positive relationship between individual fitness and population density provides an important conceptual framework in conservation biology. While declining Allee effect causes red...
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Article
Influence of isolation degree of spatial patterns on persistence of populations
Spatial patterns are ubiquitous in nature, which have been identified as important factors in dynamics of ecosystems. However, how pattern structures have influence on persistence of populations is far from we...
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Article
Open AccessModeling the transmission dynamics of Ebola virus disease in Liberia
Ebola virus disease (EVD) has erupted many times in some zones since it was first found in 1976. The 2014 EVD outbreak in West Africa is the largest ever, which has caused a large number of deaths and the most...
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Article
Erratum: Effects of time delay and space on herbivore dynamics: linking inducible defenses of plants to herbivore outbreak
Empirical results indicate that inducible defenses of plants have effects on herbivore populations. However, little is known about how inducible defenses of plants have influences on herbivore outbreak when sp...
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Article
Open AccessEffects of time delay and space on herbivore dynamics: linking inducible defenses of plants to herbivore outbreak
Empirical results indicate that inducible defenses of plants have effects on herbivore populations. However, little is known about how inducible defenses of plants have influences on herbivore outbreak when sp...
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Article
Open AccessDetermination of Original Infection Source of H7N9 Avian Influenza by Dynamical Model
H7N9, a newly emerging virus in China, travels among poultry and human. Although H7N9 has not aroused massive outbreaks, recurrence in the second half of 2013 makes it essential to control the spread. It is be...
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Article
Spatial dynamics of a vegetation model in an arid flat environment
Self-organized vegetation patterns in space were found in arid and semi-arid areas. In this paper, we modelled a vegetation model in an arid flat environment using reaction-diffusion form and investigated the ...
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Article
Erratum to: Modeling Seasonal Rabies Epidemics in China
