876 citations
- University of Wisconsin–MilwaukeeUS6 papers
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7 papers · 1 filter
Assessing the Impact of (Self)-Quarantine Through a Basic Model of Infectious Disease Dynamics
Jozsef Z. Farkas, Roxane Chatzopoulos
We introduce a system of differential equations to assess the impact of (self-)quarantine of symptomatic infectious individuals on disease dynamics. To this end we depart from usin…
Component response rate variation underlies the stability of highly complex finite systems
A. Bradley Duthie
The stability of a complex system generally decreases with increasing system size and interconnectivity, a counterintuitive result of widespread importance across the physical, lif…
Net reproduction functions for nonlinear structured population models
József Z. Farkas
The goal of this note is to present a general approach to define the net reproduction function for a large class of nonlinear physiologically structured population models. In parti…
Revisiting the stability of spatially heterogeneous predator-prey systems under eutrophication
Jozsef Z. Farkas, Andrew Yu Morozov, E. G. Arashkevich +1
We employ partial integro-differential equations to model trophic interaction in a spatially extended heterogeneous environment. Compared to classical reaction-diffusion models, th…
Wolbachia infection in a sex-structured mosquito population carrying West Nile virus
József Z. Farkas, Stephen A. Gourley, Rongsong Liu +1
Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin b…
Modelling effects of rapid evolution on persistence and stability in structured predator-prey systems
József Z. Farkas, A. Yu. Morozov
In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distri…