Huaiping Zhu

BIFURCATION ANALYSIS OF A PREDATOR-PREY SYSTEM WITH NONMONOTONIC FUNCTIONAL RESPONSE ∗

We consider a predator-prey system with nonmonotonic functional response:

The Impact of Media on the Control of Infectious Diseases

p(x)=\frac{mx}{ax^2+bx+1}

Media/psychological impact on multiple outbreaks of emerging infectious diseases

. By allowing b to be negative (

The Impact of Weather Conditions on Culex pipiens and Culex restuans (Diptera: Culicidae) Abundance: A Case Study in Peel Region

b > -2\sqrt a

Existence and roughness of exponential dichotomies of linear dynamic equations on time scales

), p(x) is concave up for small values of x > 0 a...

Threshold Conditions for West Nile Virus Outbreaks

We develop a three dimensional compartmental model to investigate the impact of media coverage to the spread and control of infectious diseases (such as SARS) in a given region/area. Stability analysis of the model shows that the disease-free equilibrium is globally-asymptotically stable if a certain threshold quantity, the basic reproduction number (

Modelling and analysis of influenza A (H1N1) on networks

\mathbb R_0

Epidemic models for complex networks with demographics

), is less than unity. On the other hand, if