标题： 基于微分方程的知识产权保护策略设计与分析 显示英文标题

标题： Design and Analysis of Intellectual Property Protection Strategies Based on Differential Equations

摘要： 本文构建了一种新颖的知识产权（IP）保护策略，利用微分方程理论，旨在分析和优化知识产权保护的效果。 通过建立数学模型，探讨了知识产权保护强度对创新企业和侵权行为的动态影响。 研究发现，设计合理的知识产权保护策略可以有效减少侵权行为，同时促进技术创新。 本文还讨论了在不同参数条件下的策略效果，并通过数值模拟验证了模型的合理性和有效性。 研究结果为制定知识产权保护政策提供了理论支持和参考依据。 显示英文摘要

摘要： This paper constructs a novel intellectual property (IP) protection strategy using differential equation theory, aiming to analyze and optimize the effectiveness of IP protection. By developing a mathematical model, it explores the dynamic impact of IP protection intensity on both innovative enterprises and infringement activities. The study finds that a well-designed IP protection strategy can effectively reduce infringement while promoting technological innovation. The paper also discusses the effects of strategies under varying parameter conditions and verifies the model's rationality and effectiveness through numerical simulation. The findings provide theoretical support and references for formulating IP protection policies.