Bifurcation Analysis in Models for Vector-Borne Diseases with Logistic Growth
نویسندگان
چکیده
منابع مشابه
Bifurcation Analysis in Models for Vector-Borne Diseases with Logistic Growth
We establish and study vector-borne models with logistic and exponential growth of vector and host populations, respectively. We discuss and analyses the existence and stability of equilibria. The model has backward bifurcation and may have no, one, or two positive equilibria when the basic reproduction number R 0 is less than one and one, two, or three endemic equilibria when R 0 is greater th...
متن کاملControl and Management of Vector-Borne Diseases in Disaster Conditions
Disasters are a set of unexpected situations that occur as a result of natural misadventure or human manipulations. Depending on the type, time, and location of the events, the insect population causing vector-borne diseases is affected, which may eventually lead to widespread epidemics. Parasitic diseases such as malaria, leishmaniosis, arboviral diseases such as dengue fever, West Nile enceph...
متن کاملVector-borne diseases models with residence times - A Lagrangian perspective.
A multi-patch and multi-group modeling framework describing the dynamics of a class of diseases driven by the interactions between vectors and hosts structured by groups is formulated. Hosts' dispersal is modeled in terms of patch-residence times with the nonlinear dynamics taking into account the effective patch-host size. The residence times basic reproduction number R0 is computed and shown ...
متن کاملAge- and bite-structured models for vector-borne diseases.
The biology and behaviour of biting insects is a vitally important aspect in the spread of vector-borne diseases. This paper aims to determine, through the use of mathematical models, what effect incorporating vector senescence and realistic feeding patterns has on disease. A novel model is developed to enable the effects of age- and bite-structure to be examined in detail. This original PDE fr...
متن کاملClimate Changes and Vector-Borne Diseases With an Emphasis on Parasitic Diseases: A Narrative Review
Background and Objectives: The issue of climate change has currently become a critical concern for the global community as it affects the transmission and spread of a wide range of diseases. This study aims to examine the literature and scientific evidence concerning the impact of climate change on vector-borne diseases. Methods: In this review research, a comprehensive search and review of te...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Scientific World Journal
سال: 2014
ISSN: 2356-6140,1537-744X
DOI: 10.1155/2014/195864