In recent studies, it has been shown that a cooperative interaction in a co-infection spread can lead to a discontinuous transition at a decreased threshold. Here, we investigate the effects of immunization with a rate proportional to the extent of the infection on phase transitions of a cooperative co-infection. We use the mean-field approximation to illustrate how measures that remove a portion of the susceptible compartment, like vaccination, with high enough rates can change discontinuous transitions in two coupled susceptible-infectious-recovered dynamics into continuous ones while increasing the threshold of transitions. First, we introduce vaccination with a fixed rate into a symmetric spread of two diseases and investigate the numerical results. Second, we set the rate of measures proportional to the size of the infectious compartment and scrutinize the dynamics. We solve the equations numerically and analytically and probe the transitions for a wide range of parameters. We also determine transition points from the analytical solutions. Third, we adopt a heterogeneous mean-field approach to include heterogeneity and asymmetry in the dynamics and see if the results corresponding to homogeneous symmetric case stand.
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http://dx.doi.org/10.1103/PhysRevE.105.034311 | DOI Listing |
Chaos
January 2025
School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China.
Generosity through donation plays a crucial role in reducing inequality and influencing human behavior. However, previous research on donation has overlooked individuals' acceptance of the extent of inequality, which acts as a trigger for donation. To address this gap, this paper systematically explores the impact of donation based on inequality tolerance on the evolution of cooperation in spatial public goods game.
View Article and Find Full Text PDFACS Macro Lett
January 2025
Department of Life Science and Applied Chemistry, Graduated School of Engineering, Nagoya Institute of Technology, Gokiso-cho Showa-ku, Nagoya-city, Aichi 466-8555, Japan.
Vitrimers are sustainable cross-linked polymers characterized by an associative bond exchange mechanism within their network. A well-known feature of vitrimers is the Arrhenius dependence of the viscosity or relaxation time. Another important aspect is the existence of a topology-freezing temperature (), which represents a transition between the viscoelastic solid state and the malleable viscoelastic liquid state.
View Article and Find Full Text PDFInorg Chem
January 2025
Institute of Solid State Physics, TU Wien, A-1040 Vienna, Austria.
A novel ternary boride, NiPtB ( = 0.5), was obtained by argon-arc melting of the elements followed by annealing at 750 °C. It exhibits a new structure type with the space group ( = 2.
View Article and Find Full Text PDFSoft Matter
January 2025
Department of Physics, Central University of Karnataka, Kadaganchi, Kalaburagi, Karnataka-585367, India.
The isomerization kinetics of a liquid crystalline azobenzene dimer, comprising cyanoazobenzene and naphthalene (NAZ6), were investigated at the air-water interface. The Langmuir monolayers of NAZ6 in both its and states were analyzed using surface manometry techniques. The results revealed that NAZ6 molecules in the -state displayed the coexistence of a disordered liquid-expanded phase and an ordered liquid-condensed phase, whereas no such phase transition was observed in the -state.
View Article and Find Full Text PDFJ Chem Phys
January 2025
School of Chemistry, University of Lincoln, Brayford Pool, LN6 7TS Lincoln, United Kingdom.
We analyzed the thermal, structural, and dynamic properties of maghemite using classical molecular dynamics, focusing on bulk and nanoparticle systems. We explored their behavior when heated to high temperatures (above the melting point) and during cooling, as well as under thermal cycles ending at intermediate temperatures. Our findings show that in the bulk system, both the tetrahedral and octahedral iron sub-lattices undergo a phase transition prior to melting.
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