Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 6 of 6 for “"Next generation matrix"”.
-
Mathematical Models and Stability Analysis of Cholera Dynamics
… model by computing the spectral radius of the next generation matrix. We focus our attention on the stability analysis at the disease-free equilibrium which determines the short-term epidemic behavior, and the endemic equilibrium which determines the long-term disease dynamics. Particularly, we …
-
Stochastic and deterministic multipatch epidemic models
… idea will be to study the spectral radius of the next generation matrix with regards to crossing of a critical threshold (corresponding to stability) with regards to the parameter $\gamma$, which measures the amount of interaction between each of the groups. We include numerical approximations of …
-
Lyapunovfunctions in epidemiological modeling
… of the disease-free equilibrium. Moreover, a matrix-theoretic method is critically examined for its capability and overall functionality in the construction and development of an appropriate Lyapunov function for the stability analysis of the nonlinear dynamical systems. This method …
-
Maintaining pathogens with short infectivity in seasonally structured tick populations: relative importance of three transmission pathways
… pathogens with short infectivity. We used the next generation matrix method to calculate R0 and performed elasticity analyses for complex disease systems. We found that cofeeding transmission is a critically important route for such pathogens to persist in seasonal tick populations over the …
-
Discrete epidemic models with arbitrarily distributed disease stages
… analyzed. This chapter focuses on the use of the next generation matrix approach to derive analytic expressions for R0 and RC. In Chapter 3 we develop and analyze of a model with quarantine and isolation when arbitrarily distributed disease stages are incorporated. The results obtained in the …
-
Towards bioengineered ecosystems: Three studies in invasion biology
… for research were identified, including the generation of mathematical models to describe yeast-bacterium interactions in sourdoughs, further work on the effect of community structure on invasion direction, and additional experimental and theoretical work towards the realization of phage …