지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
This research is focused on a continuous epidemic model of transmission of {\it Plasmodium vivax} malaria with a time delay. The model is represented as a system of ordinary differential equations with delay. There are two equilibria, which are the disease-free state and the endemic equilibrium, depending on the basic reproduction number, $R_0$, which is calculated and decreases with the time delay. Moreover, the disease-free equilibrium is locally asymptotically stable if $R_0<1$. If $R_0>1$, a unique endemic steady state exists and is locally stable. Furthermore, Hopf bifurcation is applied to determine the conditions for periodic solutions.
목차
등록된 정보가 없습니다.
참고문헌 (23)
참고문헌 신청
R. Anderson / 1991 / Infectious Disease of Humans: dynamics and control / Cambridge Univer-sity Press
F. Chamchod / 2011 / Analysis of a vector-bias model on malaria transmis-sion / Bull. Math. Biol 73(3):639~657
M. Chuedoung / 2009 / Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and-cell compartment / Nonlinear Anal 2009:e1048
L. Esteva / 1998 / Analysis of a dengue disease transmission model / Math. Biosci 150:131~151
M. Gilles / 2002 / Essential malariology / Arnold
F. Chamchod / 2011 / Analysis of a vector-bias model on malaria transmis-sion / Bull. Math. Biol 73(3):639~657
M. Chuedoung / 2009 / Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and-cell compartment / Nonlinear Anal 2009:e1048
L. Esteva / 1998 / Analysis of a dengue disease transmission model / Math. Biosci 150:131~151
M. Gilles / 2002 / Essential malariology / Arnold
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Qualitative analysis of a general periodic system
대한수학회논문집
2018 .01
-
Delayed Dynamics of Prey-Predator System with Distinct Functional Responses
Kyungpook Mathematical Journal
2017 .06
-
Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay
대한수학회지
2020 .01
-
SPIRAL WAVE GENERATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TWO TIME DELAYS
대한수학회보
2015 .01
-
A Hopf bifurcation in an attraction-attraction chemotaxis system with global coupling
한국수학논문집
2023 .06
-
DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .06
-
DYNAMICAL BIFURCATION OF THE ONE DIMENSIONAL MODIFIED SWIFT-HOHENBERG EQUATION
대한수학회보
2015 .01
-
Pattern formation in a general Degn-Harrison reaction model
대한수학회보
2017 .01
-
Interactive dynamics in a bistable attraction-repulsion chemotaxis system
한국수학논문집
2016 .01
-
Backward bifurcation of an Sir-Si model with vaccination and treatment
Advanced Studies in Contemporary Mathematics
2019 .01
-
절삭 혼합모형을 이용한 우리나라 삼일열 말라리아 장단기 잠복기 비율 추정
한국데이터정보과학회지
2018 .07
-
PROFITABILITY AND SUSTAINABILITY OF A TOURISM-BASED SOCIAL-ECOLOGICAL DYNAMICAL SYSTEM BY BIFURCATION ANALYSIS
대한수학회지
2017 .01
-
HOPF'S BOUNDARY TYPE BEHAVIOR FOR AN INTERFACE PROBLEM
대한수학회지
2017 .01
-
Hopf-bifurcation Analysis of a Delayed Model for the Treatment of Cancer using Virotherapy
Kyungpook Mathematical Journal
2022 .03
-
A note on stabilization heights of fiber surfaces and the Hopf invariants
대한수학회보
2021 .09
-
기후변화에 따른 말라리아 잠재 발생 가능성 분석: 베네수엘라를 중심으로
한국기후변화학회지
2020 .02
-
DYNAMIC ANALYSIS FOR DELAYED HCV INFECTION IN VIVO WITH ANTI-RETRO VIRAL TREATMENT
Nonlinear Functional Analysis and Applications
2021 .09
-
Rationalized evaluation subgroups of the complex Hopf fibration
대한수학회논문집
2021 .10
-
SOLUTIONS OF HIGHER ORDER INHOMOGENEOUS PERIODIC EVOLUTIONARY PROCESS
대한수학회지
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0