GLORIA

GEOMAR Library Ocean Research Information Access

X

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • World Scientific Pub Co Pte Ltd  (12)
Material
Publisher
  • World Scientific Pub Co Pte Ltd  (12)
Person/Organisation
Language
Years
FID
Subjects(RVK)
  • 1
    Online Resource
    Online Resource
    SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
    World Scientific Pub Co Pte Ltd ; 2009
    In:  International Journal of Modern Physics C Vol. 20, No. 01 ( 2009-01), p. 71-84
    Details
    In: International Journal of Modern Physics C, World Scientific Pub Co Pte Ltd, Vol. 20, No. 01 ( 2009-01), p. 71-84
    Abstract: The vast majority of models for spatial dynamics of natural populations assume a homogeneous physical environment. However, in practice, dispersing organisms may encounter landscape features that significantly inhibit their movement. And spatial patterns are ubiquitous in nature, which can modify the temporal dynamics and stability properties of population densities at a range of spatial scales. Thus, in this paper, a predator-prey system with Michaelis-Menten-type functional response and self- and cross-diffusion is investigated. Based on the mathematical analysis, we obtain the condition of the emergence of spatial patterns through diffusion instability, i.e., Turing pattern. A series of numerical simulations reveal that the typical dynamics of population density variation is the formation of isolated groups, i.e., stripe-like or spotted or coexistence of both. The obtained results show that the interaction of self-diffusion and cross-diffusion plays an important role on the pattern formation of the predator-prey system.
    Type of Medium: Online Resource
    ISSN: 0129-1831 , 1793-6586
    URL: Article
    DOI: 10.1142/S0129183109013467
    RVK:
    UA 4383
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2009
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 2
    Online Resource
    Online Resource
    SPATIAL PATTERN IN AN EPIDEMIC SYSTEM WITH CROSS-DIFFUSION OF THE SUSCEPTIBLE
    World Scientific Pub Co Pte Ltd ; 2009
    In:  Journal of Biological Systems Vol. 17, No. 01 ( 2009-03), p. 141-152
    Details
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 17, No. 01 ( 2009-03), p. 141-152
    Abstract: In this paper, pattern formation of a spatial model with cross diffusion of the susceptible is investigated. We compute Hopf and Turing bifurcations for the model. In particular, the exact Turing domain is delineated in the parameter space. When the parameters are in that domain, a series of numerical simulations reveals that the typical dynamics of the infecteds class typically involves the formation of isolated groups, i.e., striped, spotted or labyrinthine patterns. Furthermore, spatial oscillatory and anti-phase dynamics of different spatial points were also found. These results demonstrate that cross diffusion of susceptibles may have great influence on the spread of the epidemic.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    URL: Article
    DOI: 10.1142/S0218339009002843
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2009
    detail.hit.zdb_id: 2026740-X
    SSG: 12
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 3
    Online Resource
    Online Resource
    EXISTENCE OF TRAVELLING WAVES IN NONLINEAR SI EPIDEMIC MODELS
    World Scientific Pub Co Pte Ltd ; 2009
    In:  Journal of Biological Systems Vol. 17, No. 04 ( 2009-12), p. 643-657
    Details
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 17, No. 04 ( 2009-12), p. 643-657
    Abstract: In this paper, we investigate a spatially extended SI epidemic system with a nonlinear incidence rate. Using mathematical analysis, we study the existence of a heteroclinic orbit connecting two equilibrium points in R 3 which corresponds to a travelling wave solution connecting the disease-free and endemic equilibria for the reaction-diffusion system. In other words, the travelling wave solutions of the model are studied to determine the speed of disease dissemination, form the biological point of view. Moreover, this wave speed is obtained as a function of the model's parameters, in order to assess the control strategies. Also, our theoretical results are confirmed by numerical simulations. The obtained results confirm that travelling wave can enhance the spread of the disease, which can provide some insights into controlling the disease.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    URL: Article
    DOI: 10.1142/S0218339009003101
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2009
    detail.hit.zdb_id: 2026740-X
    SSG: 12
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 4
    Online Resource
    Online Resource
    MODELING THE TRANSMISSION DYNAMICS OF DAIRY CATTLE BRUCELLOSIS IN JILIN PROVINCE, CHINA
    World Scientific Pub Co Pte Ltd ; 2014
    In:  Journal of Biological Systems Vol. 22, No. 04 ( 2014-12), p. 533-554
    Details
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 22, No. 04 ( 2014-12), p. 533-554
    Abstract: Dairy cattle brucellosis is a chronic bacterial disease, which is caused by Brucella abortus and mainly characterized by abortion in dairy cattle. With the rapid development of breeding industry of milk cows in China, the infectious cases of dairy cattle brucellosis show an increasing trend. Particularly in Jilin province, the annual number of the positive cases of dairy cattle was only 3 cows in 1987, and went up to 168 cows in 2005. Based on the situation of the brucellosis infection in Jilin province, we propose an Susceptible-Exposed-Infected-Virus (SEIV) dynamical model with outside transferred amount to describe the transmission of brucellosis amongst dairy cattle in this paper. We calculate the basic reproduction number R 0 and prove that the equilibria are globally stable. Moreover, using the real data of nearly 20 years in Jilin province, we estimate the parameter values in the system. As a result, we can predict the number of infections as time increases. According to the prediction for the next 30 years, we can conclude that the disease will persist if we just take existing measures. If culling, sterilizing and decreasing the number of outer importing are used together, dairy cattle brucellosis will be well controlled.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    URL: Article
    DOI: 10.1142/S021833901450020X
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2014
    detail.hit.zdb_id: 2026740-X
    SSG: 12
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 5
    Online Resource
    Online Resource
    EMERGENCE OF POWER-LAW IN SPATIAL EPIDEMICS USING CELLULAR AUTOMATION
    World Scientific Pub Co Pte Ltd ; 2010
    In:  International Journal of Modern Physics C Vol. 21, No. 08 ( 2010-08), p. 983-989
    Details
    In: International Journal of Modern Physics C, World Scientific Pub Co Pte Ltd, Vol. 21, No. 08 ( 2010-08), p. 983-989
    Abstract: We analyze a spatial susceptible-infected epidemic model using cellular automata and investigate the relations between the power-law distribution of patch sizes and the regime of invasion. The obtained results show that, when the invasion is in the form of coexistence of stable target and spiral wave, power-law will emerge, which may provide a new insight into the control of disease.
    Type of Medium: Online Resource
    ISSN: 0129-1831 , 1793-6586
    URL: Article
    DOI: 10.1142/S0129183110015634
    RVK:
    UA 4383
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2010
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 6
    Online Resource
    Online Resource
    MEASUREMENT OF SELF-ORGANIZATION IN ARID ECOSYSTEMS
    World Scientific Pub Co Pte Ltd ; 2010
    In:  Journal of Biological Systems Vol. 18, No. 02 ( 2010-06), p. 495-508
    Details
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 18, No. 02 ( 2010-06), p. 495-508
    Abstract: In semi-arid environments, vegetation is not homogeneous, but rather self-organized into spatial patterns. And spatial patterns of vegetation are a central feature of these semi-arid areas. Thus, in this paper, we give detailed analysis of a vegetation model in arid ecosystems. According to the dispersion relation formula, we discuss the changes of the wavelength, with respect to the rainfall and plant mortality rate. The obtained results show that, as rainfall being decreased, spotted, striped and "black-eye" patterns emerge successively.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    URL: Article
    DOI: 10.1142/S0218339010003366
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2010
    detail.hit.zdb_id: 2026740-X
    SSG: 12
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 7
    Online Resource
    Online Resource
    Interactions of periodic birth and shearing induce outbreak of Brucellosis in Inner Mongolia
    World Scientific Pub Co Pte Ltd ; 2022
    In:  International Journal of Biomathematics Vol. 15, No. 07 ( 2022-10)
    Details
    In: International Journal of Biomathematics, World Scientific Pub Co Pte Ltd, Vol. 15, No. 07 ( 2022-10)
    Abstract: Brucellosis, a zoonotic disease, has brought about enormous human suffering and tremendous economic burden to animal husbandry in China. However, Inner Mongolia is the hardest hit area of brucellosis in China. A total of 132,037 human cases have been reported from 2010 to 2020. Endogenous mechanisms of brucellosis spreading across Inner Mongolia till remains to be revealed. We propose a periodic epidemic model to investigate the effect of periodic parameter changes on brucellosis epidemics. Then we evaluate the basic reproduction number [Formula: see text] and analyze the global dynamics of the model. Furthermore, key parameters related to periodic transmission are estimated based on the monthly data of human brucellosis cases and the trend of newly infected human brucellosis cases are predicted in Inner Mongolia. Our modeling results illustrate that periodical birth and sheep shearing play a significant role in inducing periodical outbreak of brucellosis in Inner Mongolia. Moreover, it is exhibited that the annual peak number and the final scale of human brucellosis cases will be reduced dramatically with the delayed peak time of sheep birth. While the annual peak time will be lagged and the annual peak number will be decreased as the peak time of sheep shearing is postponed. In addition, we discover that it is difficult to stem brucellosis even if all sheep are vaccinated besides ewes. Nevertheless, the detection rate exceed a certain value 0.032 or the decaying rate of Brucella surpass a critical value 0.585, the human brucellosis can be regulated in Inner Mongolia according to the sensitivity analysis of [Formula: see text] . The insights shed herein may contribute to the careful implementation of brucellosis control strategies in other regions.
    Type of Medium: Online Resource
    ISSN: 1793-5245 , 1793-7159
    URL: Article
    DOI: 10.1142/S1793524522500437
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2022
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 8
    Online Resource
    Online Resource
    SPATIAL COMPLEXITY OF A PREDATOR–PREY MODEL WITH BOTH NOISE AND DIFFUSION
    World Scientific Pub Co Pte Ltd ; 2012
    In:  Fluctuation and Noise Letters Vol. 11, No. 02 ( 2012-06), p. 1250006-
    Details
    In: Fluctuation and Noise Letters, World Scientific Pub Co Pte Ltd, Vol. 11, No. 02 ( 2012-06), p. 1250006-
    Abstract: In this paper, we present a predator–prey model with Holling II functional response, including noise and diffusion. The model with diffusion only has target wave dynamics in the two-dimensional space. However, the waves are destroyed when noise is introduced. Furthermore, the spatially extended system with noise exhibits chaotic phenomena. These results may explain some of the findings in real ecosystems.
    Type of Medium: Online Resource
    ISSN: 0219-4775 , 1793-6780
    URL: Article
    DOI: 10.1142/S021947751250006X
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2012
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 9
    Online Resource
    Online Resource
    TRAVELING PATTERN INDUCED BY MIGRATION IN AN EPIDEMIC MODEL
    World Scientific Pub Co Pte Ltd ; 2009
    In:  Journal of Biological Systems Vol. 17, No. 02 ( 2009-06), p. 319-328
    Details
    In: Journal of Biological Systems, World Scientific Pub Co Pte Ltd, Vol. 17, No. 02 ( 2009-06), p. 319-328
    Abstract: The main work in spatial epidemiology is the study of spatial variation in disease risk or incidence, including the spatial patterns of the populations. Spread of diseases in human populations can exhibit different patterns for spatially explicit approaches. In this paper, we investigate an epidemic model with both diffusion and migration. In the previous work (Sun et al., J Stat Mech P11011, 2007), we studied the model only with diffusion and obtained stationary Turing pattern. However, combined with migration, the model will exhibit typical traveling pattern, which is shown by both mathematical analysis and numerical simulations. The results obtained well extend the finding of pattern formation in the epidemic model and may well explain the field observed in the real world.
    Type of Medium: Online Resource
    ISSN: 0218-3390 , 1793-6470
    URL: Article
    DOI: 10.1142/S021833900900279X
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2009
    detail.hit.zdb_id: 2026740-X
    SSG: 12
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
  • 10
    Online Resource
    Online Resource
    EMERGENT TURING PATTERN IN EPIDEMIC SPREADING USING CELLULAR AUTOMATON
    World Scientific Pub Co Pte Ltd ; 2011
    In:  International Journal of Modern Physics B Vol. 25, No. 32 ( 2011-12-30), p. 4605-4613
    Details
    In: International Journal of Modern Physics B, World Scientific Pub Co Pte Ltd, Vol. 25, No. 32 ( 2011-12-30), p. 4605-4613
    Abstract: Spatial epidemiology is the study of spatial variation in disease risk or incidence, including the spatial patterns of the population. Thus, an epidemic model with spatial structure based on the cellular automata method, which is different from deterministic and probabilistic CA models, is investigated. The construction of the cellular automata is based on the work of Bussemaker et al. [Phys. Rev. Lett.78, 5018–5021 (1997)]. For the appropriately chosen parameters, Turing pattern formation can emerge from a randomly perturbed uniform state, which is shown by numerical simulations. The results obtained confirm that diffusion can form the disease being in high density and the population being more stable.
    Type of Medium: Online Resource
    ISSN: 0217-9792 , 1793-6578
    URL: Article
    DOI: 10.1142/S0217979211059401
    RVK:
    UA 4381.B
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2011
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Online Resource
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...