8 citations · 29 across the 12 of their papers we have counts for
12 papers
Specifics of coinfection and it's dynamics
S. Ghersheen, V. Kozlov, U. Wennergren
It is essential to understand the dynamics of epidemics in the presence of coexisting pathogens. There are various phenomenon that can effect the dynamics. In this paper, we formul…
Effect of density dependence on coinfection dynamics: part 2
J. Andersson, S. Ghersheen, V. Kozlov +2
In this paper we continue the stability analysis of the model for coinfection with density dependent susceptible population introduced in the 1st part of the paper. We look for coe…
Effect of density dependence on coinfection dynamics
J. Andersson, S. Ghersheen, V. Kozlov +2
In this paper we develop an SIR model for coinfection. We discuss how the underlying dynamics depends on the carrying capacity : from a simple dynamics to a more complicated. Th…
Mathematical analysis of complex SIR model with coinfection and density dependence
Samia Ghersheen, Vladimir Kozlov, Vladimir G. Tkachev +1
An SIR model with the coinfection of the two infectious agents in a single host population is considered. The model includes the environmental carry capacity in each class of popul…
Density-dependent feedback in age-structured populations
Jonathan Andersson, Vladimir Kozlov, Vladimir G. Tkachev +2
The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and…
Dynamical behaviour of SIR model with coinfection: the case of finite carrying capacity
Samia Ghersheen, Vladimir Kozlov, Vladimir G. Tkachev +1
Multiple viruses are widely studied because of their negative effect on the health of host as well as on whole population. The dynamics of coinfection is important in this case. We…
Biodiversity and robustness of large ecosystems
Vladimir Kozlov, Sergey Vakulenko, Uno Wennergren +1
We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of t…
Global stability and persistence of complex foodwebs
Vladimir Kozlov, Vladimir G. Tkachev, Sergey Vakulenko +1
We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalize some pre…
Biodiversity, extinctions and evolution of ecosystems with shared resources
V. Kozlov, S. Vakulenko, U. Wennergren
We investigate the formation of stable ecological networks where many species share the same resource. We show that such stable ecosystem naturally occurs as a result of extinction…
Permanency of the age-structured population model on several temporally variable patches
Vladimir Kozlov, Sonja Radosavljevic, Vladimir G. Tkachev +1
We consider a system of nonlinear partial differential equations that describes an age-structured population inhabiting several temporally varying patches. We prove existence and u…
Persistence analysis of the age-structured population model on several patches
Vladimir Kozlov, Sonja Radosavljevic, Vladimir G. Tkachev +1
We consider a system of nonlinear partial differential equations that describes an age-structured population living in changing environment on patches. We prove existence and u…
New perspectives: stability and complex dynamics of food webs via Hamiltonian methods
Vladimir Kozlov, Sergey Vakulenko, Uno Wennergren
We investigate global stability and dynamics of large ecological networks by classical methods of the dynamical system theory, including Hamiltonian methods, and averaging. Our ana…