A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper.A set of sufficient conditions which guarantee the persistence and global stability malibu relaxer of the system are obtained, respectively.Our results show that if refuge is large enough then predator species w
Coal plays a crucial role in energy generation in developing nations and serves as a vital source of power amidst growing energy demands.However, coal mining often acts as a primary driver of deforestation and poses significant environmental challenges.Indonesia, a country with extensive forest areas and a significant coal producer, has implemented
Quantum image encryption offers major advantages over its classical counterpart in mustang bitless bridle terms of key space, computational complexity, and so on.A novel double quantum image encryption approach based on quantum Arnold transform (QAT) and qubit random rotation is proposed in this paper, in which QAT is used to scramble pixel positio