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Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate

Li, Chun-Hsien - In: Physica A: Statistical Mechanics and its Applications 427 (2015) C, pp. 234-243

This paper studies the dynamics of a network-based SIS epidemic model with nonmonotone incidence rate. This type of nonlinear incidence can be used to describe the psychological effect of certain diseases spread in a contact network at high infective levels. We first find a threshold value for...

Persistent link: https://www.econbiz.de/10011209725

Dynamic of a delayed predator–prey model with birth pulse and impulsive harvesting in a polluted environment

Wang, Xiaohong; Jia, Jianwen - In: Physica A: Statistical Mechanics and its Applications 422 (2015) C, pp. 1-15

environment. Existence conditions of the predator-extinction periodic solution are derived by developing the discrete dynamical … system, which is determined by the stroboscopic map. Further, we discuss the global attractivity of predator-extinction … periodic solution and permanence of the system, and obtain the threshold conditions. The results provide a dependable …

Persistent link: https://www.econbiz.de/10011194070

Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence

Liu, Qun; Chen, Qingmei - In: Physica A: Statistical Mechanics and its Applications 428 (2015) C, pp. 140-153

the positive initial value. Then when R0>1, we prove that stochastic perturbations may lead the disease to extinction in …

Persistent link: https://www.econbiz.de/10011209701

The role of predator overlap in the robustness and extinction of a four species predator–prey network

Hisi, Andreia N.S.; Guimarães, Paulo R.; Aguiar, … - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 21, pp. 4725-4733

strengths and study the dynamics of survival and extinction. In particular, we consider situations in which the four species … leading to their extinction. We predict that, contrary to one’s intuition, the most likely scenario is the extinction of the …

Persistent link: https://www.econbiz.de/10010872792

Physics of evolution: Selection without fitness

Thurner, Stefan; Hanel, Rudolf; Klimek, Peter - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 4, pp. 747-753

punctuated equilibrium, i.e. the existence of intrinsic large extinction events, and, at the same time, periods of dramatic …

Persistent link: https://www.econbiz.de/10011059097

The extinction and persistence of the stochastic SIS epidemic model with vaccination

Zhao, Yanan; Jiang, Daqing; O’Regan, Donal - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 20, pp. 4916-4927

conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer …

Persistent link: https://www.econbiz.de/10010742334

Particle statistics and population dynamics

Escudero, Carlos - In: Physica A: Statistical Mechanics and its Applications 354 (2005) C, pp. 371-380

analytical methods that, while the Fermi–Dirac statistics lead to certain extinction for any refuge size, the Bose …

Persistent link: https://www.econbiz.de/10010589837