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This study integrates trust in government, fear of COVID-19, and economic dependence on tourism into the protection motivation theory (PMT) framework to predict resident hospitality during the COVID-19 crisis. Structural equation modeling is utilized to analyze 281 questionnaires from destination residents. Findings show that threat severity and threat vulnerability can indirectly reduce resident hospitality through fear of COVID-19, whereas response efficacy and self-efficacy can directly promote resident hospitality. Trust in government can change the levels of threat severity, threat vulnerability, response efficacy, and self-efficacy, which in turn influences fear of COVID-19 and resident hospitality in different ways. Additionally, economic dependence on tourism is found as the most influential predictor of resident hospitality. Theoretically, this study contributes to the literature by developing a comprehensive and novel extended PMT model to understand the formation mechanism of residents' attitudes during the COVID-19 crisis. Practical implications can help better improve resident hospitality. [ABSTRACT FROM AUTHOR]

We introduce a novel iterative algorithm, termed the Heavy-Ball-Based Hard Thresholding Pursuit for sparse phase retrieval problem (SPR-HBHTP), to reconstruct a sparse signal from a small number of magnitude-only measurements. Our algorithm is obtained via a natural combination of the Hard Thresholding Pursuit for sparse phase retrieval (SPR-HTP) and the classical Heavy-Ball (HB) acceleration method. The robustness and convergence for the proposed algorithm were established with the help of the restricted isometry property. Furthermore, we prove that our algorithm can exactly recover a sparse signal with overwhelming probability in finite steps whenever the initialization is in the neighborhood of the underlying sparse signal, provided that the measurement is accurate. Extensive numerical tests show that SPR-HBHTP has a markedly improved recovery performance and runtime compared to existing alternatives, such as the Hard Thresholding Pursuit for sparse phase retrieval problem (SPR-HTP), the SPARse Truncated Amplitude Flow (SPARTA), and Compressive Phase Retrieval with Alternating Minimization (CoPRAM). [ABSTRACT FROM AUTHOR]

The neutral delay model has many applications in biology, ecology, man-made neural networks, mechanics and engineering. The main purpose of this paper is to establish new oscillation criteria for the two-dimensional neutral delay dynamical system z Δ (t) = b (t) g { r (t) ψ [ x (t) ] y [ η (t) ] } , y Δ (t) = − f (t , x [ δ (t) ]) , on a time scale , where z (t) = x (t) + p (t) x [ τ (t) ] and a , r , p are positive rd-continuous functions, τ , δ , η : → , are in accordance with the definition given by S. H. Saker, Oscillation of nonlinear dynamic equations on time scales, Appl. Math. Comput.148 (2004) 81–91. [ABSTRACT FROM AUTHOR]